We always found a nice campground in the area. Rent a spot in their storage lot, unhook the trailer there and leave your TOW vehicle in the airport parking lot. Your RV will be more secure/safer at a campground lot than in an airport so you also have more pease of mind. If push comes to shove, you may need to rent a RV spot which probably won't be too much more money than paying the parking fee to the parking fees an extra long truck/RV.
Days camping (2016)----181 days
Days camping (2017) --- 82 days
2016 Wildcat MAXX 28RKX (33' TT), 2007 13' Scamp
2015 Ram Laramie Hemi, w/air suspension
30 years RV'ing
11 different RV's