Keep in mind that a BOG antenna really needs some kind of return (RF
ground). That could be a few radials buried just below the surface of the
earth (to minimize pickup from unwanted directions on the radials
themselves). Otherwise, the return is in the form of common-mode on the
outside of your coax's shield.
If it's not terminated, then a ground at the far end could be dispensed
BOGs and associated grounds have been discussed at length here. I suggest
you search back through the Topband archives. Lots of good advice there!
Pay particular attention to threads containing Guy Olinger's posts on this
subject. (Darned if I can remember Guy's callsign!)
Topband Reflector Archives - http://www.contesting.com/_topband