How bout the tennadyne log periodic? I believe they have a 5 or 6 element
version that's not too big.

I had a force 12 c3 up for a bit, it was a pretty large antenna but it worked
10-20 and the tuner in me rig even tuned it up on 40 although it didnt work
good on 40. They now make the c3 in a short version which isnt much off the
performance of the regular c3, which is probably similar to a 2 element yagi on
20 and 3 elements on 10 and 15..Good luck.

Steve
kb8viv