Depending on the character and the amount of free time I have it can take a few months to name them, but I don't think I've ever had a nameless character for as long as a year! That just goes to show you're very devoted to finding them the perfect names, though. The outcome of the names doesn't have to be fancy or overdone--sometimes it just takes awhile to find the perfect combination. Avery Shy is great. It has nice flow, it suits the character, and it's fun to say. For an outcome you're satisfied with, I don't think two months is too long.

I like to make up names on the fly, but sometimes I'll use generators. I don't use the names from the generators either though, just take inspiration from the formatting or sound and roll with it. I'd be happy to make some suggestions for character names if you ever need any, so again, my inbox is open!