I completely agree with part of what you said, which is running jack stands at max height. "Budget" stands seem to have a smaller footprint, and therefor are less able to resist being torqued over. I've got a regular 3-ton set, but when I did the clutch on the Camaro I had it on the 6-ton set.
I completely disagree with the 8x8/6x6 option. It's just not possible on any of my cars, though I could probably get it to work on my truck. Lift/jack points are a thing, and if they're recessed front/back left/right that suddenly involves stacking and that's way sketchier than a good jack stand.
Sometimes you have to use the smaller jack stands, as on our Charger. The lift point and the jack stand point are so close together there just isn't any other option.
Working under a vehicle involves risk, and risk which is impossible to completely mitigate. Lifts, ramps, stands, none eliminate risk. The thing to do is just pick the solution that best fits your goal.
And for

's sake, try and push the car off the stand before you go under it. I just did the oil in the Camaro yesterday, and as always I open the door, grab the a and b pillars and give the car a good shove before I go under it.