Skills vs basics

Hi all!
i've recently hit a dilemma in my training. i don't know whether to do these class's or do exercises at home. The classes aren't extremely hard at all, but they do make me ache from all the grappling, meaning i can't exercise for that day.

So its either be skill full but not incredibly fit or be really fit but not incredibly skill full.
So here's my solution:
do a private session that only focuses on skills once a week, so it doesn't over exert me, so i can still train.
But unfortunantly its incredibly expensive. 30 pounds an hour. So i'm only going to do it every other week, starting tomorrow. I'll tell you how it goes!