I'm in about the exact same position as you and my numbers are almost identical. I'm 5"11, 34, did starting strength. If you want to go a pure strength route, Madcow or the Texas Method is probably your best bet. If you'd rather focus more on size I'd go for a classic body-part split. I personally experience 1x per week per body part at far too infrequent - I'm doing a push day Sun and Wed and a pull day Mon and Thurs and it's working well. I think you'd be crazy to drop starting strength as long as your numbers are going up, and you may consider putting in a full year on strength just to get stupid strong before switching over to a bb cycle. I mean really think about the trajectory you're on - how badass would it be to pull 500, squat 400, bench 300 and press 200 - all of which are realistically doable for you in 12-24 months? Then again, you won't get as big as you could going for pure strength.
I think it's a fantasy to think you're really going to lose the gut without some serious cardio. The general consensus and my personal experience as a fat dude currently losing weight (down from 33% to 25% in 6 months so far) is that steady state low intensity - meaning a 1 hour brisk walk 3-4 times per week is the ticket. High intensity stuff may cut weight faster, but part of that cut will be muscle mass.