An ideal combo is submission wrestling combined with BJJ, you'll find MMA gyms train this way.
As someone who used to train at an MMA gym, going to a pure BJJ gym is weird because yeah, I'll shrimp out, get up to my feet, and my training partner is sitting there on their knees waiting for me to re-engage and my first thought is "this would be a great time for a kick to that completely unprotected noggin right there..."
Of course once on the ground, the BJJ peeps dominate, which is what UFC spent 3 decades demonstrating!