I've had good luck with Citristrip. It's a citrus-based stripper that's available at most big-box home improvement stores. I'm not sure how it compares to aircraft stripper, but it works fine if you're patient. I found that my results improved a lot with a quick round of 60-grit sanding, then slathering on the Citristrip (I used the gel kind, not the spray-on) and letting it sit for a while before hitting it with steel wool or stripping pad (which is to be preferred, since it clogs up the steel wool really fast and you can rinse out the stripping pad).
The big selling point for Citristrip for me at least is that it's not noxious and you don't have to worry about properly disposing of bad chemicals. I first used it because I was stripping a frame in the basement of a duplex and didn't want to annoy the neighbors and didn't really want to kill brain cells either. To me, it smells (and looks) like the fluoride stuff I'd get at the dentist when I was a kid, so it's a little weird, but I don't mind it. Just lay down lots of newspaper under your frame and then throw it in the trash when you're done. Easier than cleaning up a lot of dust from sanding (unless you have a good place to do it outside, of course) and you don't have to worry about breathing it.
All that being said, I guess if you can get it sandblasted for cheap, that sounds like the way to go.