Hi,
There is no simple answer to your problem as the impedances
and frequency range involved are too great. However, as you are
not intending to use the antenna to transmit with, take a look at
this site and do a search on "LONG WIRE BALUN".
http://www.maplin.co.uk/
If you are in the U.S. I am sure that there will be an
equivalent item around somewhere. It is even possible that there
is a design for one of these out on the net.
The device is mis-named really and should be called something
like an UNUN. Of course it is a kludge but what the hell as it
should be better than a single wire or coax feed from your
basement.
Cheers - Joe, G3LLV