It's a tough call, and depends on how much you want to spend, versus how comfortable you want to be. I did sort of the opposite a few years ago on a trip to California. Deciding to go camping in the Sequoia National Forest for a few days, I went to a local sporting goods store (Big 5!) and bought a very basic tent, tarp, a battery lantern, a propane stove and a coffee pot. The friend I was visiting loaned me a cooler, air mattress, blankets and an old frying pan, and some knives and forks. All in all, it was enough gear to fill the trunk of my car. I wasn't going as a minimalist, so it was way more than I could have taken on the plane or in a backpack.
It worked out great for me. It was late summer, so I did not need high performance gear like you would for winter camping. I used the stuff just fine for a few days, then drove back to LA. I shipped the cheap tent and tarp back to myself because my friend had no use for them or space to keep them. I probably spent $40 to ship myself a footlocker sized box of gear worth $100. I have not even used it since. I have better stuff home, so it's just in the garage. If I were being realistic, I would have posted a craigslist "curb alert" for some free camping gear, and let someone else get some use out of it. Or post an update in the Idaho forum, and let an ar15 guy get some camping gear.
If you bought the gear first, you could get better stuff and test it out beforehand, but you'd have to find a place to ship it to (perhaps ask the campsite?). Otherwise, I think you will not fail to find an outdoor store, even a Walmart, along the way to buy a basic tent and outdoor gear. Again, if you were camping in a more extreme environment, you'd want higher quality gear, but for late summer and just a few days, I think even a Walmart tent will serve you. I got my Intex twin air mattress there for around $15 and a hand pump for $8, and that has been great for car camping for me.
So buy basic stuff out there, and decide when its over if its worth it to you to ship it home. If you bite the bullet and buy great gear, I can see it more likely that you'd ship it home.
Instead of a solar charger, I would buy a decent portable car jump starter lithium battery. I have one, a bit larger than a paperback book that will start your car, but it also has ports to use the battery it contains to charge a cell phone or laptop. They list what they are rated to charge, mine has the power to charge a phone 4 or 5 times, and a laptop twice. If that runs low, be clever about finding a place to recharge it (perhaps the campsite restroom area, or at a diner if you go out for lunch). Mine can also charge off of a running car.
For me, when I'm outdoors I do like a campfire, even if it's just a small one from scrounged wood. So bring a cotton jacket or something as an overcoat, so you don't get small holes from embers burned into an expensive nylon jacket.