Hi Mark.
I own a Ram 2500 with the 6.4L Hemi/4.10 combo as mentioned above. Now that you know what that means....
I have been very happy with the performance of the truck hauling our RV.
The RV is 37' long and weighs about 12,000#. When weighed together, my truck and trailer weigh 9500 Kg (20500#). The truck is rated for a combined weight of 10,227 Kg (22500#).
I would suggest at least a 3500 SRW for that RV. It will add some capacity, though in the RAM truck products, with which I am very familiar, the only mechanical difference between my truck and a 3500 SRW is the rear suspension. Mine has heavy duty coil springs, the 3500 has traditional leaf springs, and an accompanying higher rear axle weight rating. The axles, tires, brakes, etc are all the same.
It's more marketing than solid mechanical differences (other than the aforementioned rear suspension). In tests I have done, the 3500 SRW does sag about 2 cm less with a 3000# load than my truck did.
Here are some pictures. Mine is the silver, petrol powered 2500, the darker colored one is a diesel 3500 SRW. The RV is the same unit. It is 41 feet long and weighs in at 14000# by itself (6360 Kg). It belongs to a friend who owns the 3500 SRW truck in the pictures, also a 2014 model.
I also did some comparison pulls which I posted on YouTube.
LINK TO VIDEOSCheck the description for which truck is which and what we are testing in each video.
As far as which brand to purchase, I happen to like RAM, but really, you can't go wrong if buying new. We are all about trucks here and these things are tested, tested again, and reviewed. There isn't one I wouldn't buy, but they do have different "personalities". You have to find the one you like best by driving them. The capacities are all very similar as well, with RAM having a slight edge generally, but that's somewhat thanks to the marketing department rather than huge mechanical variations between brands.
One other note: The 3500/350 DRW trucks will have more towing and hauling capacity than their SRW twins. That is because lower rear axle gear ratios (higher numbers such as 3.73 and 4.10) are offered in the DRW versions that are not offered in the SRW versions, which are usually 3.31, 3.42, etc. The exception to this is GM/Chevy which are 3.73 no matter what the truck. If it has a diesel engine and it's a GMC or Chevy 2500HD or 3500HD truck, it has a 3.73 rear axle ratio.
Hope that helps.
Prev: 2010 Cougar 322QBS (junk)
02 Dodge 2500 4x4 5.9L CTD 3.55
07 Dodge 3500 4x4 SRW Mega 5.9L CTD 3.73
14 Ram 2500 4x4 Crew 6.4L Hemi 4.10
06 Chevy 1500 4x4 E-Cab 3.73 5.3L
07 Dodge 1500 5.7L Hemi 3.55 / 2010 Jayco 17z
All above are sold, no longer own an RV