ruger.

Rem 700, Win 70, Savage 110, Howa 1500, Tikka, Ruger, Browning, etc. There are a bunch of other lesser known and/or used models that are fine too. Just avoid some of the really cheap ones like the Rem 710/770. If you want cheap look used or at Stevens or Marlin.

Those are all bolt guns, there are some good single shot (T/C or NEF), lever (BLR), or semi auto options as well.

My personal preference is Rem 700 or Win 70.

Why not just get a Springfield Sporter since you already have standard one.
One with peep sights would do nicely.
There are some listed on Gunbroker.

I'd go with a Savage 111 or 114

Don't overlook the CZ 550. Wonderful rifles, blows everything else in that price range away.

Howa 1500 is an excellent bolt gun for the money. They're accurate, have adjustable triggers, and their synthetic (if you're so inclined) is a hogue overmolded stock. They're now making detachable magazine kits of the the 1500 as well, though I'm not sure if they have a long action kit right now. IRC the local gunstore had them for around $500 NIB.

If you don't mind a single shot I would strongly recommend a TC Encore. They're accurate, light, have decent triggers, safe, versatile (want a different caliber? buy another barrel! Want to practice with the same length of pull and trigger in the off season? Buy a .22 LR barrel!) and overall are shorter than repeating rifles.

A .30-06 TC Encore with a 26" barrel has the same overall length as a bolt action .30-06 with a 22" barrel.

The Remington SPS rifles are another great choice. The only thing that I can fault Remington on is that tiny extractor.

My personal experience with Ruger rifles has been hit or miss. They have a WONDERFUL bolt design, the mauser type direct round feed they use is IMHO the most reliable action ever devised, but a few of them I've shot have not been as accurate as I would like. Also if you buy a used MK II they do NOT have an adjustable trigger, and the factory setting leaves a lot to be desired. Also I understand that some gunsmiths will not rebarrel Ruger rifles because the actions are investment cast. That would vary from gunsmith to gunsmith, and could have changed from when I was looking to get a Ruger I own rebarreled.

The best thing you can do is to handle and shoot as many different bolt action rifles as you can, weigh the pros and cons, and pick the one that is right for you. Your decision should come down to what's acceptable for you in length of pull, accuracy, trigger pull, ascetics (looks aren't everything, but I know I don't want to carry a rifle I find ugly), weight, felt recoil, optics mounting options (yet another dislike for me on the Ruger), and what's within budget.

Remington 700

Remington 7600 carbine pump.

I have both. Carbine is fast, light and great for run n gun.

700 is a tack driver.

My father swears by his 700 30-06, he wont use anything else.

This.

You will not go wrong with any of the guns suggested! That being said, I love my Whetherby Fibermark!

Agree with this as well. Hard to beat a Savage (or Stevens which is made by Savage) or a Remington 700 ADL.

I love my M-77, it is the featherweight model chambered in .308 but they offer it in 30-06.

It's a tack driver with a crisp trigger that has zero take-up and the walnut is beautiful.

mossberg model 100 atr got mine for 250 new

I've got a Marlin XL-7 in .30-06, and for a budget rifle, it's fairly nice. It's lightweight, has an adjustable trigger and is way more accurate than I am. Handloaders have reported easily getting sub-MOA groups. I'm not a handloader, and the best group I've personally gotten was just over 2 MOA, but that's not the rifle's fault. I put a Bushnell 4200 scope on it, and it's my only true "hunting" rifle.