I am in a very, very similar situation as you. I will be buying either the T. Rice 161.5, 162 BSOD or the 159 Mountain Twin. I am 6'2" 185lbs without gear and size 11 Burton SLX.
My riding is similar to yours though I am lucky to get that much pow. I live in NYC so most riding is done upstate NY and VT with a handful of days out west. I was initially thinking the 157 but I have Nug and I am probably going to sell my Premier 163 so I will be going 161.5 for sure.
I recommend the 161.5 for you as well. With such limited time in the park you should definitely lean towards a bigger board to tackle that pow. My friend has the 161.5 and he throws 3's and 5's no problem with it. If you have the skill you can spin a board of that size. If you can afford it get the HP version so it is lighter and easier to toss around.