They don't have to fit in a C-5. They can self deploy.
I was thinking of missions following AF1. I've seen pictures of a 60 being loaded into a C-17 for AF1 mission support.
The H-3's remain east of the Rockies. Anything outside of that area will be H-60's.
To put the H-3 in a C-17/C-5, you have to take the rotor head off and that means an FCF after you get it put back together. An H-60 can fit inside without needing an FCF on the back-end.