I see one or two of these a year at our town's transfer station metal recycling heap... I've got a set of those legs, too bad there's not a doorway from my Boston to your Boston that I could just pass them through.
I've seen the "W" type, but also eight short straight legs that connect to a second ring on the ground? I feel like these designs allow for temporary placements on soft ground such as a lawn, and dragging aside to mow below. I imagine that more permanent installations with altered legs could be made.
I pass a house on my commute, that has a trampoline "installed" in the yard. There seems to be bricks encircling it, and I can assume that it is over a shallow pit to allow for the trampoline to do its thing. I feel like this could be an option if you can't salvage the legs?
I also think it could be safer? since an errant jump/bounce wouldn't be an additional 30 inch fall to the ground. Trampolines here seem to be equipped with a net to keep this from happening.
Your plan seems decent though. I've seen some of the "W" legs with half the tube rotted away (in the heap), yours doesn't sound that bad?