Been there brother and that's annoying. Not sure what your "super-strong hook-and-loop tape" is, but I'd still try some good, wide, industrial grade 3M velcro both on the pedal and the top of your lid (even maybe put small screws + washers through the velcro on the lid side so that it doesn't un-stick), and then cut yourself a big piece of foam/pillow to put over your stuff so that when it's closed, nothing moves inside. Good luck.
This is the tape: https://www.stringsdirect.co.u…&utm_medium=cpc&utm_term=
Very strong, but just doesn't seem to stick to the slightly carpety interior of the flightcase! I'll give the screws/washers some thought, I'm just a bit wary about screwing into the case and potentially ruining it...