Tekonsha Prodigy brake controller
http://http://www.tekonsha.com/prodig.html
I have pulled a featherlite and the distance between the hitch and the jack was pretty short, so having a spare tire was a problem. The weight you are talking about is no problem for the truck using tow/haul and third gear a lot.
The shank length is still a problem with my enclosed trailer and I don't even worry about getting into the rear through the rear hatch of the truck. I have a 7x18 (I think it's 18, might be 16) and the H2 has no trouble with it for periodic towing.