Its certainly doable but quite difficult. You need 8000 to beat the game, each screen has 500 in it, which means you need 16 full room clears. However big chest sometimes have an emerald in them, that are worth 500 on their own. You have time over to get grabbed, diving into a potential partner and invoke the safeword is almost always faster than waiting for them to move out of the way.
As far as a challenge goes, its probably too stingy, I just rather test and see, and increase the time, than reduce it.



















