You may end up having to make something yourself for that band (although I could be wrong - it's happened before!) A Yagi is a directional antenna, so do you know where the radio
transmitters are? Not the studios, the actual transmitter aerials themselves. Those are what you're going to need to point at.
There are plenty of works on designing antennae for the apt pupil, so the material is out there, and I don't recall the maths being overly onerous.
You may also want to look for RDF (Radio Direction Finding) antennae for DF contests, finding one for the 2 m band will be close to what you want to work with (broadcast FM runs 88-105 MHz or so, 2M runs about 145-150MHz, give or take. I'm not looking at a band plan right now.)
If you do not know where the station's transmitter aerial is, you may be better off using a discone with a vertical element protruding from the top (tune the vertical for the desired frequency band,) or a vertical 1/4- or 1/2-wave dipole to pick up what you want - tune the length for the middle of the band you want. If there is a primary station you want to listen to, then tune for that station (but, since stations have been known to move, better to tune for the middle of the band. Figure FMB for 88-104 MHz, so 104-88 = 16, 16/2=8, 88 + 8 = 96, tune for 96 MHz. Feed the dipole from the centre, the discone is fed from the bottom by CoAx - the jacket connects to the cone, the centre conductor connects to the disc and vertical element. For the discone, I'd tune the vertical for 1/4-wave at 96 MHz.
Antenna maths can be found here and at various locations online, there are also a number of references available for purchase, starting with the
ARRL Antenna Book, available at Amazon for $70, shipped. I would not wish to deprive you of the chance to hone your Google-Fu. . .
