Thanks for the input everyone. Sounds like it’s simple to replace the feet with a flat grip surface but not so common to mimick the TE2 or HRAP4.
I’ll be sure to post photos of my job after I get all the materials. They should be coming tomorrow and the work shouldn’t take long.
I think what I will end up doing is mimicking the HRAP4 with two patches of foam rubber/craft foam where your legs would typically touch. Just enough to cover the vertical height and avoid the screws. I don’t want to use grip tape (what etokki sells) because that would scratch.
The problem with a lot of the solutions I’ve detailed below. Most of my research has been to solve as many of these problems as possible. I’ve also been trying to avoid making a mistake due to the permanence of spray adhesive (or at least how badly it will leave a trace).
 Material is not good for skin contact
 Too foamy and easily tears from friction
 Too stiff and no longer useful for tabletop play
 Adhesive leaves edge weakness and peeling issues
It’s not worth doing if it’s not going to be better than what you got. Honestly the 2mm craft foam I picked up is likely going to be too slick for table play, but here’s hoping… Without being able to touch it, it’s starting to look like that foam that kids make fridge magnets from.
The plan is to run wide double-sided tape on all the edges and cut it with a hobby knife to make sure it really sticks to the edge. I’m assuming the edges are all I need to worry about, but I might stick a square or two in the middle to reduce friction.