Pardon me if this is the wrong place to ask this question, but hopefully
I can get an answer here.

What would be the best type of antenna for receiving FM radio stations
up 80 miles away(Tampa to the north, Fort Myers to the south)? The
antenna would be mounted outside, up to 30' high. Would an
omni-directional antenna work, or should I stick with a directional?

Stick with a directional. You'll probably need a log-periodic to
handle the full width of the FM band - a Yagi/Uda would be great for a
single frequency but probably would not have the bandwidth necessary
to do a decent job across the whole band.

My TV/FM log-periodic at about 35' does a decent job of bringing in
stations from San Francisco (about 40 miles away). 80 miles may be
pushing it.

My TV antenna is up about 55', but the amplifier has the trap on and I
can only get the strongest of the signals.

You might want to consider changing over to an amplifier which doesn't
have a trap, or whose trap can be switched on and off, and just use
your existing antenna.

--
Dave Platt AE6EO
Hosting the Jade Warrior home page: http://www.radagast.org/jade-warrior
I do _not_ wish to receive unsolicited commercial email, and I will
boycott any company which has the gall to send me such ads!