Man, gone for a couple weeks and I miss all kind of good stuff.
Legion, some may disagree, but what works best for me is train in all aspects. Train heavy and short, train light and long. But, I think one thing should remain constant, and thats big power movements. You can curl to build you arms, shrug to build your traps, row to build your back thickness, good morning to build your erectors, and leg curl to build your hams, OR deadlift heavy weight and force them all to respond.
Not benching is a bad idea. Even if chest is only(say) 15% of your striking power, why train to hit with only 85% of your potential? A clinching hook is almost all chest. Ever work on someone from their guard? The chest is a huge muscle and helps in more ways then you may realize. Sure shoulders and back(as well as legs) play a major role, but like Danielson said, why create a weak link in yourself? Benching is a compound movement anyway. So, its not like you're only training chest, you're hitting tris, delts, etc. Benching is very important in my opinion.
Also, you said you don't want to get too big and be slow. This is a BS fallacy started by skinny guys. If you train properly, your strength will increase disproportionately to your size, allowing you to be big while becoming faster and more agile. Look at your average pro powerlifter that can slam dunk a basketball with ease. Or, watch an olympic lifter snatch with a blur of speed.
Not to mention being big feels good
