Couple of things:
If you are receiving only and will never transmit, putting a portable radio antenna on the back directly 90º'd off the plug would be an option.
-The stress on the antenna jack is a concern.
-The lack of counterpoise directly under the antenna, rather than offset like it would be, is going to impact performance.
If you are going to transmit with that setup:
-20 watts that close to the user isn't a good idea from an RF exposure standpoint. It's not super bad, but not a good idea.
-20 watts of RF right off the back of the radio is going to give you issue. RF will likely get into the mic cord or even directly into the radio and probably cause all kinds of issues. Any nearby electronics are going to suffer.
You really do want to get the antenna on a proper ground plane and away from the radio a bit. I know outside may not be an issue, but you don't really want to do directly off hte back of the radio.