@Mark1, remember that the
entire "commercial" FM radio spectrum (i.e., 88 to 108 MHz in most of the world) lies
in between the old, analog (US) TV channels 6 and 7! I mention this for two reasons -- 1) even an old-time broadband directional VHF TV antenna is not really optimized for FM radio reception and 2) today's (US) digital OTA TV frequency assignments are above the good ol' FM radio band. In other words, there really are few if any TV antenna "solutions", old or new, that will help much.
I don't pay close attention to the topic, but my impression is that commercially available options for high gain, directional FM radio antennas (Yagis, typically) have become much more limited in recent years. I picked up an inexpensive FM directional from Parts-Express some years back -- but it's still sitting in it box in the basement!
Altitude and directionality can be your best friends, of course, for a really good FM antenna situation -- but that won't help with IBOC HD interference problems (if you have them). Plus, if you go with a directional antenna, you'll have to add a rotator unless the only FM station(s) you want to listen to lie in one direction from your location.
A DIY antenna might be a very attractive option! Remember that even a simple 300 ohm center fed (T) dipole can be a very good antenna, particularly if 1) it's "tuned" (i.e., cut to length) for optimal reception of a favorite station and/or 2) if it is way up high! Recall also that a T-dipole has a figure-8 shaped reception pattern, so it is somewhat directional. The so-called J-pole (which I believe is omnidirectional) is a good DIY-able option. You can find designs aplenty, although biased towards designs for 2 meter (144 MHz-ish) ham use. They can be re-dimensioned for broadcast FM.
There are simple, inexpensive commercial outdoor (or attic mount) omnidirectional FM antenna options, too -- perhaps the most commonly available one is the "turnstile" design. Of course, if you mount an antenna outdoors, proper lightning protection is essential -- for the safety of your house and for the downlead connected to your radio or tuner.
Hope this is helpful -- or at least interesting.