I also have that thing where the first thing I worry about is "will I be able to train" when I got hit by a car some time ago guess what my main concern was?
Is it too bad to just put a band aid on and tape it like hell and lift? Sometimes when I rip up my hands I actually use straps on some of the more challenging grip exercises like deadlifts and snatch pulls (snatch pulls with an open wound on a finger are not pleasant)