I like to use Usage Dice for this. Instead of tracking your arrows individually, you start with, say, a d12. At the end of a fight you roll it, on a 1 or a 2 the die downgrades a step to a d10, then a d8 etc. After d4 youre empty.

I wanna say I got this from the Black Hack?

Fwiw I run an old-school style game. 5e is more about power fantasy