It's going to be extremely difficult to bulk and lose fat. Get to somewhere near where you want to with the muscles, then lose the fat. I've done multiple bulk / cut cycles and I'm only recently getting close to where I want to be... I still think I'd be too scrawny if I went low enough to completely rid myself of stomach fat.
(and yes, too much cardio will hurt your gainz, take it from someone that does a shitload of it)
We should add this disclaimer in the OP...I feel like the two of us say it once a day minimum.