Would the mooring hitch and/or tumble hitch do the trick?
One should ask why you would think of those?
At least in the case of the tumble hitch, you don't need access to the ends of the line to tie it, which is exactly the problem the OP is asking about. And the mooring hitch, would need the end to pass around his endless loop to which he's tying off (the grab handle on the rear of the atv, I'd imagine) only once, and the end is not needed to be fed through the knot to tie it. Feeding 20' or so of excess rope back and forth is what we are trying to avoid here.
I have been thinking about this problem a bit here and there, and I wonder, can you tie the round turn and two half hitches on a bight in this situation? I've only done that w/ para-cord in a non-critical situation, so I don't know how well that will translate to a larger diameter rope wrapped around a relatively small diameter bar...
Also, this comes to mind- you could first tie a fixed loop in the middle of the line (Alpine Butterfly, for example) and then if you have a wrench, some kind of rod, or a sturdy branch you could do this kind of cow hitch variation-
http://www.layhands.com/Knots/LarksHeadToggle.jpgBM