I have a 6x10 Wells Cargo trailer. My EG Classic fits comfortably with my gear, but no way I would try and put a second bike that size in it. If it worked at all it would be extremely tight, and probably very close to, if not over, the capacity of the trailer.
Back the first one in, then put the other in faccing forward.
When I moved from Montana to Florida, the moving van company put my Ultra Classic and my BigDog Mastiff on bike pallets in the moving van, and built a shelf over them for more household goods.
I have a 6x12 v-nose (the nose adds about 2 1/2 ft) and with the wheel chocks staggered right we can get two baggers in. But it is tight. I went tandem drop axels as well, I am pretty sure you would be over weight for a single.
I have a 7X16 and you can see I have to stagger these bikes. And no I don't tow them with the windshield on the RK. I was about to pull it off when my wife took this picture.
You said you were on a budget, but you will be overloading a single axle with two bikes!