I finally finished restickering the 7-cube. The picture is shortly before I finished, I just liked how that looked.
I then scrambled it (using the 100 move scramble generated by my timer) and timed a solve.
63:15.52 was a ridiculously long time for a single solve, but at least twenty minutes of that was spent attempting to finish the last pair of 5×5 center grids. I still haven’t managed to come up with algorithms for that for the 7. On the 5 I can get it within a few moves (also mainly guesses), but that only has a 3×3 grid so it’s much more limited on what pieces can be out of place.