I do pump it up until it seriously balloons - far far more than it ever could when inside a tyre. I think I had/have the idea that this is a serious test. Is this not good?
Maybe your idea is best (I can see a sense in it) though as I tend to save my patching for a dull evening and do two or three at a time, your system would be more of a fag.
I don't think stretching tubes beyond their elastic limit is a good idea, it'll alter their properties permanently. I could be wrong though, as I haven't investigated it.
I always repair tubes soon after getting back, so my routine works well. When I put the mended tube on the test rim the previous occupant comes off, gets rolled up, an elastic band on it, and into the tool kit to replace the one that's gone onto the wheel.
I once had a bare tube on the compressor and got distracted. Don't know what pressure the tube got to, but the bang was amazingly loud. (That tube wasn't repairable again).