Not sure if anything changed much in the wheel and tire fitment between the RHO and TRX, but this is speculative on what I've come across. The factory wheel for the TRX is an 18"x9" and reported as a +19.05 mm offset for the TRX. While I've not seen any official reporting on this, there doesn't seem to be anything that has suggested that the RHO is not exactly the same or "close enough" to what the TRX is based on form factor. The RHO official specs could be in a manual some place or online somewhere, but I haven't bothered to look it up.
There were TRX guys that ran 37's on stock wheels or stock wheel offset on their trucks without any lift or level kit, though.
The main rub for many folks who go with larger tires is avoiding rubbing (pun intended), and to do so the tradeoff is going to be wheel offset. Avoiding this, it looked like most TRX folks were going anywhere between a +18 offset up to 0 offset if an aftermarket wheel was used. 0 seemed like the limitation for poke the wheel could have on a 37 before you hit rubbing, There are some posts on this in the TRX forums and here are a few examples of some folks who did it w/o rub and w rub:
Thanks for again edifying me. And what size is that wheel if I can be so bold to inquire? Same as stock, 18 x 9, but with 0 offset compared to the stock wheel which has a 19mm offset, so it sits 19mm further out.
www.ram-trx.com
Has any ran a 18x9 or 20x9 with 0 offset ? Would like to see the fitment.
www.ram-trx.com
That thread in general is a good resource for wheel and tire fitment for us RHO owners, imo and what I'm using to help guide my opinion for when I slap 37's on my RHO (if I ever get it..
).
Lastly, the Mopar SEMA build they ran BFGoodrich KM3's. I've run them on my Jeep before. As tires for 37's go, they measure smaller than most other 37's which definitely helps when avoiding rubbing, and they are lighter than a lot of 37s out there. My observation on what TRX owners did is that if 37s is in your plans, and you don't want to lift or level, then you can still do it. Just need to stick to an offset that is somewhere near factory, and rubbing should be avoided. Someone will inevitably confirm this, but I feel like running 37s on factory wheels (most, if not all) won't be an issue at all. Myself, ill be planning to run a more aggressive offset (either -18 or -44 haven't decided), so I will definitely need at least a level kit or spring lift if I want to avoid any rubbing. Hope this helps.