Need tires for my 99 Prerunner..

Just bought my first tacoma and there are some knobby off road tires that are worn down and need to go. I want to replace them with a good all terrain, most of my driving is city/highway but I like venture out of the city pretty often as well. so far I've looked at BF all terrain, and the Toyo open country, don't know which to buy, or if either are worth buying. Also my truck is at factory stance and currently have 31x10.5x15 on it, how much bigger can i go?

 

I like my Cooper Discoverer AT3 so far.

 

I have Yokohama Geolander A/T-S on mine, and they've been great. No road noise and they do well in the snow. Over 30k on them and people still ask me if I just bought new tires.

 

Ended up going with falken rocky mountains just because of my money situation and I needed tires immediately. But falken has a 45 road trial, should I go back and get the BF's or goodyear duratracs or stick with the falkens?