Have you tried running it on lower pressure?
Usually the supply will immediately go through a regulator once inside the machine, so there may well be a margin of safety around what's written as the required pressure.

Keeping a conventional compressor above 100psi can be fairly challenging. First thing is to check the pressure switch to see if the cut-in pressure can be increased.
If it's not, then the cheapest option is probably a new combined starter/pressure switch (they're not just a basic pressure switch, as they need to unload the compressor when stopped) with the required adjustability. I've just checked the ones listed in the Machine Mart catalogue, but there's no mention on whether the cut-in pressure can be changed, and I can't find any manual for them.