Your next best choice if you are only running low power, and by this I mean not running hundreds of watts but 10 to 20 watts, is to go to a Mag loop antenna.
Unless the mag loop is home built they are expensive and either design, a store purchased mag loop or a home built Mag loop will be very critical to tuning to resonance and both, store bought and home built mag loops, will have narrow bandwidth which may not be an issue for your situation since 27 MHz is very narrow to begin with.
Something like a W4OP mag loop would fit your small space requirement and would be useable over the 27 MHz band but they aren't low cost.