I just took a project 1100 miles in a 24' box truck (Budget rental)- no damage!
the door of the truck was 7'8" (92") wide, and we just tilted it about 40 degreees, but we had to take the main gear off. with 109", you should be able to just tilt with the mains still on (we were only 6" short, maybe less).
last tip- point the nose down and to one corner as you go in. that gives you a few more inches to wiggle.
good luck!