I just purchased a 2010 2500HD 6.0 for the same purpose. I did quite a bit of research and decided to go with the TT over the 5th wheel. Both have there pros and cons though, and here are some that helped me decide.
Travel Trailer
Pros:
-Keep bed of truck, with a topper, that's a huge amount of dry storage lost with a 5er. Also, having gear in bed allows for less tow weight. This can be a positive or negative, dependent on where you need a little less weight.
-Better gas mileage. 5ers are substantially taller and create more drag, in effect, generally speaking you lose mpgs with 5er
-Sharper turning radius, with the pivot point behind the truck, it allows the trailer to react to turns of the steering wheel sooner than a 5er.
-Lighter weight generally speaking. Not a huge issue with a 3/4 ton, but the less weight the better mpgs
-Less expensive generally
Cons:
-More trailer sway. Though sway can be entirely eliminated with a Hensley Hitch, or lessened substantially with a friction based hitch like an Equalizer.
-Companies seem to be notoriously more well known for using cheaper crap in TTs partly due to the the idea of getting them as light as possible. Just have to do your research for which ones use quality materials throughout.
-Longer footprint for same interior length
-Mainly 30 Amp Power
5th Wheel
Pros:
-Generally more room and open floor plan.
-Higher ceilings, allow room for a ceiling fan in most units.
-Larger, if not full size appliances.
-Typically have a better build quality, but still don't get your hopes up too much.
-Generically speaking, better insulation and construction for 4-seasonability.
-Most have 2 AC Units, and are wired for 50 amp power. (This is my favorite thing about 5ers, and I wish I could have found a TT that fit my criteria, and also had 50 amp.) For reference 30 Amp power is good for about 3600 Watts, while 50 Amp power is good for about 12,000 Watts. This allows the ability to run a lot more appliances at once. A/C, Microwave, Coffeepot etc. Having 2 AC units without 50 amp power is pushing it, and you wouldnt be able to run anything else while theyre running.
-some say its an "easier" tow, seems to be matter of opinion though
Cons:
-Have to put holes in bed of truck
-Can't use bed for storage
-Less MPGs
-Taller unit might be a pain in some wooded RV parks/lower underpasses.
-Heavier
More expensive
-Larger turn radius
I know I'm missing a bunch of things, but I'm tired. It all depends on what your needs are. Figure out the most important qualities that you want in your trailer are and then let the research commence. There will always be sacrifices, as I don't think the "perfect trailer" exists. Well maybe it does, just not anywhere close to my price point. Anyways, hope this helped in some way.