re: Is hitting muscle groups once per week enough?

Is Blue Star a program I'm not familiar with?

There are plenty good 2x a week programs. If you can post the current program/progression you're following, happy to throw my 2 cents in about which one might be good.

This is my personal opinion only, but for natural lifters who are not moving more than 500/400/600 on squat/bench/dead, 2x body part frequency is better than one.