I like my Big Bore 94 just fine it's one of the early 1978 production with a low 4 digit serial number.
The rubber recoil pad on the Big Bore 94 reduces the recoil to .30-30 levels. The round itself adds 50 yards (in the 200 gr load) and 75 yards (in the 250 gr load) to the effective range of the .30-30, so it's still a short range proposition, but one that offers a bit more punch at the same ranges. It was a great cartridge offering good bullet weights, superb sectional density and decent ballistics (for a lever gun) with a lot less recoil than a .444 Marlin - yet like the other medium bore rounds of the era, it never caught on.
The 250 gr Winchester loads offered 1900 fps in the BB 94 and 2005 ft pounds of energy at the muzzle. At 200 yards it still had 1424 fps and 1126 ft pounds - very close to the velocity and energy of a .38-55 at the muzzle.
The 200 gr load has a muzzle velocity 2200 fps and 2150 ft pounds - basically offering .30-30 velocity with an extra 50 grains of bullet weight. At 200 yards it had 1526 fps and 1024 ft pounds. That compares to 1605 fps and 857 ft pounds for a 150 gr .30-30 launched at the same velocity.
The 250 gr load made much more sense, yet Winchester discontinued it in the mid 1990s, which also didn't help the .375 Winchester in general.
I save the .375 Win ammo for hunting situations where it makes a difference, and I save the brass for .375 Win loads. Most of the time I shoot my Bog Bore 94 with cast bullets with what amounts to .38-55 loads.
If it's a Big Bore 94, there are a few things to know about it as in contrast to the time honored technique of putting a more powerful version of a cartridge in a slightly longer case (like the .38 and .357 Magnum), Winchester took a different approach with the .375 Winchester.
First, they used a slightly shorter case, with a length of 2.020" compared to 2.085 for the modern .38-55 (which they shortened around the same time they introduced the .375 Win), and 2.125" for the original .38-55.
Second, Winchester also used a slightly smaller diameter bullet that actually measures .375" compared to .3775 for the modern iteration of the .38-55, and .379" to as large as .381" for the original .38-55.
Third, Winchester used a fairly long throat in the Bog Bore 94, at least in the early production examples.
What that all meant was:
a) While not recommended, a shooter could mistakenly fire a .375 Win cartridge in a .38-55 and, due to the smaller diameter bullet and the longer resulting throat in the .38-55, not blow it up.
b) Again while not recommended due to adopting a shorter case in the modern .38-55 and chambering the .375 Win with a longer throat that would allow the .38-55 round to be chambered and release the slightly larger bullet, a .375 owner could mistakenly shoot a modern .38-55 round in his big bore 94 and not hurt anything either.
This was fairly important as Winchester was very slow and very sporadic in getting .375 Win ammo in the field to go with the new rifles it was selling, and the first couple years, the availability was pretty spotty, which didn't exactly help the .375 Win catch on with shooters.
There are some quirks that arise when you start shooting cast bullets in the .375 Winchester. Winchester used a fast 1-12 twist (compared to 1-14 in the T/C Contender and Encore, 1-18 in .38-55 and 1-15 in many modern rebored .38-55s), so while is's prone to powder fouling with Black powder loads, it's actually well suited to smokeless powder loads using larger, longer bullets at .38-55 velocities. But it's not all good news as the rather generous throat also means you need to use a comparatively large diameter cast lead bullet to get a good fit in the throat (to avoid leading) and then rely on the barrel to size as it's fired. If you use .375 Diameter cast bullet, you'll get gas cutting before it has a chance to obturate in the bore and that will result in leading in the bore.
.375 Win brass is all but unobtainable now, but you can use .38-55 brass trimmed to length (what ever length readily chambers in your .375 Win is ideal, or you can just go with the 2.,020" default for .375 Win). You can also fire form new .30-30 brass to fit the .375 WIn. Back during the great shortage of pretty much everything, I could still get .30 -30 brass so I used 8 grains of Unique under a case full of cream of wheat. I filled the case to the bottom of the neck and then held tin place with a pea sized wad of toilet paper. Provided you fire it vertically, the case will firearm very evenly with minimum trimming needed to square up the mouth, The resulting cartridge is just a bit shy of the 2.020 length but works just fine.
I did some fairly extensive volumetric comparisons with these .30-30 > .375 Win cases and found that on average the volume was slightly smaller in the .375 cases, however there was also substantial overlap with the most voluminous .375 cases being larger than the least voluminous .30-30 > .375 cartridges. With that in mind, I suspect that full power .375 Win loads could be fired in them, but I stick with the 42,000psi limit of the ,30-30 cartridge, which is more than adequate for .38-55 cast loads.
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The Big Bore 94 is well made and holds it's value well, and in very good to excellent condition a Big Bore 94 XTR will sell north of $800, even given the current lack of ammo for them. And they are probably not going to lose any value, especially in the earlier pre-angle eject and pre-rebounding hammer configuration.
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If it were me, I'd try to get the rifle as well and thens tart loading for it if you want to shoot it, or just keep it as an investment, particularly, if you can get it for a good price.