TRD and/or SR stock wheel/tire ?'s

Here's what I'm considering doing but wasn't sure of all the options so looking for a little feedback/experience. I've done research, but not too familiar with tire/wheel nuances so hence the basic questions, I'll apologize for that now. Also looking to invest as little as possible...
I've got a '12 DCSB SR5 4X4, with stock rims/tires. Happy with them, but also like the fatter look of the TRD OR BFG's, which is what I've had on trucks in the past. Live in upstate NY, 80% of driving is highway commuting, about 22K/yr, comfortable with winter driving on stock tires. Not looking for/interested in a lift/upgrading to serious offroad or signif larger tires/wheels; wouldn't mind if the truck sat a little bit higher with slightly bigger rims/tires if possible, but not a necessity. Offroad use is typically work related (fields, logging trails, occasional moderate recreational off road, camping, ect). Also towing various sized trailers on a fairly regular basis.
I'm considering a few configurations, including picking up a set of used rims (either TRD's or SR5 stock steel) and having a set of dedicated rims/snow tires (never had snow tires before, have done fine without them, but a little extra traction never hurt anyone).
With the stock rims on my SR5, are there larger/wider tires I can get without signif sacrificing quality of tire, ride, mileage, road noise???
Can I simply put a set of TRD OR rims on my SR5 without needing further modifications? One option is having a set TRD rims and a set of SR5 stock rims and having snow tires on one set and all seasons on the other and just swapping the myself at the change of seasons. If this is doable, is it better to have the wider tires on the TRD rims be the snow or all season tires?
Thanks