Ewe wrote:
"I realize that it could be a problem covering the entire BC band and I
am not set on any particular design."

Kraus` 6-element Yagi on page 248 of the 3rd edition of "Antennas" has
12 dBi doirectivity and a 10% bandwidth. FM channels are 200 KHz wide.
10% of 100 MHz is 10 MHz. That is 50x what you need for a single
channel.

If you want to cover the entire FM band with an antenna, you can do it
easily with a rhombic. Arnold B. Bailey`s rhombic in "TV and Other
Receiving Antennas" scales to: two #10 wires 72 feet long, separated by
36 feet at the midpoint. Overall length is 61 feet. Surge resistance is
600 ohms, and 600 ohms is used as the terminating resistor value. Bailey
uses 300-ohm twinlead as a transmission line. Gain is 14.5 dBd (or
less). Bandwidth is 30% for 1 dB down. That`s 1.5x the width (20 MHz) of
the U.S. FM band.

What you probably need is height. Signal drops fast in the shadow of the
horizon or an obstruction.

Best regards, Richard Harrison, KB5WZI