Instead of cutting the supply there might be maybe a way to cut it artificially temporaryly.
Maybe there could be a way to make ones coins unspendable for a specific time (maybe a year). And somewhere should be listed how many coins are unspendable and how long. This would build more trust into the coin and fear of whales smashing the price could be reduced.
But I have no idea why someone would make his coins unspendable, other than preventing himself from selling too early in a panic. Maybe there might be some way to stabilise the system with those coins or something.

I know this might be a stupid and pointless suggestion but its not as stupid as suggesting to cut the supply. That would smash trust in a second.