Part of the problem lie with the wife not wanting to drive a DRW truck which IMO is understandable and you not understanding how much weight a new gen 2500/3500 SRW truck is safely/legally able to carry .
I have a crew cab chevy 454 one ton DRW 4x4 beater and its rides like a log wagon. My wife doesn't like to drive it so no one will/can make her like it. A 4x4 truck can ride rough compared to the same 2wd version.
IMO any of the 350/3500 SRW will have no issue pulling trailers with a 14k GVWR if its configured correct.
Some of these trucks (GM and Ram) have payloads up to 4500 lbs and tow rating well above 14k.
Hell even some of the 2500 GM trucks has payloads in the 3300-3500 lb range. Use this handy website from GM. It has a weights calculator that figures each trucks options and gives a front axle payload and the rear axle payload and GVWR payload.
http://www.gmfleetorderguide.com/ Play around with this website and especially the weights calculator. Ford and Ram needs one just like it.