Your best bet is an electronic piano, which are quite good these days. A Casio could survive everything you list, and would still sound true decades later.
If you are after something more Piano like then a Celesta would be a good bet, it’s basically a cross between a Piano and a Glockenspiel.
https://en.m.wikipedia.org/wiki/Celesta
Do not dismiss a normal piano though, a steal frame piano should stay in tune for a considerable time under stable temperature and low humidity. Should be achievable in a bunker.
Power it by solar and LTO batteries. Double or triple redundant key sensors.
A full redundant copy of the firmware and automatic checking and repair of anything going bad, or better yet an ASIC(I think a RISCV synth with samples in mask rom could still be cheaper than somw high end pianos...)
using something rust resistant for the harp wouldn’t hurt.
not claiming that will do the job. pianos are heavy and more delicate than they appear.
That seems simpler than whatever exotic methods would be needed to prevent loss of tuning.