How do I get my rear wheels off?

So my rear wheel studs and lug nuts have been thoroughly corroded, to the point where the only viable way to get the nuts off is to twist the stud off (I've already done this to one of them). The issue is, I don't have any jack stands short enough to fit underneath the car while it's on the ground (I need it on the ground to get the studs off without the tire spinning). My current plan is to jack the car up, set up a stand underneath the rear axle, and then set it back down onto some 2x4s or something so that I can spin the studs off without the tire moving, then when the wheel comes off, the jack stand is right there to catch the car.

This plan is clearly not the safest, and I was wondering if you guys have any suggestions. I can't remove the wheel without breaking the studs, and I can't do that with the car in the air. I'm looking for a way to do this so that my car doesn't fall onto the ground and get damaged.