That's not a bad idea. And especially now that I'm introducing even more events on the upcoming patch, it'd be nice to guarantee more of a "normal" event that gives you a crew member or more cargo to start with.
for newgame+, it'd be some kind bonus that you unlock after completing a game, then can choose that bonus at the start of new runs afterwards.
As a hypothetical example, there could be a few relics such as
- extra supplys, you start the game with 1 extra supplys
- spiced supplys, one of your starting supplys is spiced
- armored supplys, one of your starting supplys is armored, but can only be rolled to be 1-3
then you might unlock these at the end of various games, and you can choose one of these boosts at the start of new games