I think I have done something horrible to this game :D
I like the idea, could be interesting developed further. It seems possible to win even on Hard discarding the die labelled "don't discard me" (but might consume a mouse or two; this screencap happened on Level 3.2 on Hard), hoped there were more interesting quirks, advancement paths in it where such decisions made more sense.
How this combination of dice manages to work is that the Solar Systems can keep up with the loss of lives from Happy Hour hitting mines (and mines not yet hit eventually run out). The rest would be patience. Eventually :p
Happy Hour would be a more interesting choice if it didn't hit flagged tiles (and overall quite a bit of balancing on money).
Anyway, interesting idea!