My tow vehicle is a 2008 Ford F-250 6.4L diesel. Will this be too much trailer for my truck?
The issue is not power. It is pin weight. In addition to the pin weight add another 200 pounds or so for the hitch. Most three quarter ton trucks are rated to carry payload of around 2800 pounds. At 20 percent pin weight and two hundred pound hitch that mathematically works out to a fifth of around 13,000 gross and that does not include the family, dogs, tools, supplies, etc. that are also in the truck. However, you will find many that tow with a three quarter ton and have never had a problem. Northwood makes a 27 foot fifth wheel that likely would be a good fit for your truck. Much bigger and you might want a one ton truck. Never exceed the axle, wheel, and tire max ratings.
If you decide to go the travel trailer route, your truck will likely be more than enough as the tongue weight is less for a TT than a FW.