Deni!
How about a vertical Zepp. It does not need any counterpoise.
I did some experiments with this type of antenna. You will
find it as a 'no counterpoise antenna' via Google. It consists
of a parallel wire and on one of the two wires an extended
wire is connected.
X====================-----------------------------------------
The drawing is horizontal, but use it as a vertical antenna! At the
point
X a Balun converts from symetrical to coax - or direct into an ATU.
The Balun is a red core with a 5 turns RG-174 wound twice.
Look here
http://home.datacomm.ch/hb9abx/mws.htm
I use a version on a 12m fiber glass and it gave very good results.
Drop me a line if you need more info, email: oe1mww(at)qsl.net
73
Wolfgang
OE1MWW