Sure, you'll get down the road, but I'll bet you exceed every other weight rating your truck has... ;)
I wouldn't tow that rig with my #7700 GVWR 13 F150.. Sure, it would get down the road, but how much fun would it be towing it??? Not very much IMO..
For me, that's what is going to matter the most to me.. I want my seat time to be an enjoyable time as much as when I get to my destination.. If I'm all stressed out because I'm maxed out on my tow vehicle, what's the point of going??
Anyway, if you need that large of an RV then you should also get the TV to do the job and not just "get it down the road"... ;)
Good luck!
Mitch