No question at all on what I would do. Get a Honda 2000 Companion and paralleled with your 2000 gives you a 30 amp circuit. Keep the big AC, you're gonna need it. You are all ready nearly twice as long as a TC with very tall ceilings.
A Companion 2000 would be comparable to cost for the Champion 3000 and you would have 4000 watts of top of the line quiet gennys.
Are you never going to camp anywhere but racetracks?
Another reason. Resale!! I used a Honda Companion for a year. Just took the regular 2000 with the TC and both for the TT. Then I went with a Honda 3000 mounted to the TT and sold the Companion. I advertised it for $850 and the phone was ringing off the hook. First guy here took it. Personally for $200 difference I would have bought a new one before spending 850 for a used one!!!
Life styles change. Sometimes rapidly. What if you get tired of dragging that TH around and go back to a TC? You are stuck with too big of genny while needing another portable!! JMHO