don't go wider than 11.5 on those rims,
you can get wider ones if you want wider tires,

 

So 32x11.5x15 would be ok with stock rim and suspension?

 

I am currently running 265/75/16 which converts to 32X10.43X16. I know you would be fine on the height but you may rub at full lock. My truck is the same as your Rakaric.

 

Your truck looks way taller than mine rakaric,
yes you can fit 32s

 

i have 31x10.5x15 on 15x8 factory rims. they look "right." i wouldn't go with them on a 7" rim. plus the backspacing is different and probably will rub, mine is real close. and don't go with Durango SXT. they are good in mud, terrible on dry pavement, and even worse on wet.
btw- a sure-grip in the rear and you would be amazed what those 2wd's will do off road. my tires are for necessity, not looks. i work my truck hard. just had 1,740 lbs of limestone on her tuesday.

 

I ordered the Procomp AT's 31x10.5x15's I'll see how well they work. I hope I like them because I am know having doubts. I should have just gone with the BFG AT/KO's I had before. They worked great and I swore I would never get another tire besides them. These were just over $100 cheaper so I fell for it.