The most logical place for the Harley would be in the pick-up box, so a HD 3/4 ton TV would be my recommendation, thus providing adequate "payload capacity" (including TT tongue weight, cargo, etc.).
A couple years ago I looked into loading my HD Road King into my 2500HD, plus tow my TT at the same time. I did confirm that with "my" TV/TT combination I would max out my TV's payload and GCWR..., but in my case I have a heavy TT, heavy TT tongue, heavy Harley (900lbs), and I also had to consider the auto/ramp weight.
This is the auto/ramp I was considering: http://www.blueox.us/p-51-overbilt-sportloader.aspx
I nixed the Harley idea..., and now looking into a Kawasaki KLR 650 to take along (half the weight, easier to load manually).