Michael,
I've had sort of the same experience with a loop antenna. I'd say
it was probably about the same for most everyone.
As far as where to put the balun and how to feed the thing, I
honestly don't think it's going to make much difference. What would be
easiest and 'best' for you? That's how I'd do it...
'Doc

PS - Are loops the 'end-all of antennas? Huh, good question, and the
answer is probably, no. But, I've had good luck with mine...