I randomly looked at the specs for a 2005 Jay Feather LGT Floorplan 26 S. If you're towing something similar, and stay within its listed GVW and aren't overloading your TV with kids, gear, wives and mutts, you should do alright if your brake controller is properly adjusted. Of course, go to a CAT scale. There are lots of threads on how to best weigh your setup.
We've towed something similar with an '04 Expedition, which is a little larger but probably less engine power, and had no difficulty, although to be fair we didn't do it enough to be a real test.
You might consider a heavier TV when you retire the '08. It would make for a better tow experience, especially on a long haul. But with so few miles on your Tahoe, its retirement might be quite a ways off. Maybe you could get a much bigger trailer for DW and then she'd have to let you get a new pickup!