Detection of FM transmitter carrier phase
Your proposal is to measure the long-term average phase of a broadcast FM signal by stripping it of modulation in a PLL. This is realizable and similar to what the AFC feedback in an FM receiver already does. The off-air frequency information can be useful as a reference (since regulators require broadcasters to keep within specific frequencies) but phase information only adds the propagation delay from transmitter Tx to your receiver Rx. You may be thinking of using very directional antenna(s) to compare the delays along multiple paths from Tx to Rx as some kind of secondary radar or navigator, in which case any distances calculated will be modulus the wavelngth which is about 3 meters at 100 MHz.

The PLL detector must be a linear mixer where the input phases lock in quadrature, not the edge-counting type that aims for 0 degree phase lock. CMOS IC type 4046 contains both kinds of phase detector but needs to work at an IF no more than a few MHz. This is because a characteristic of FM is that the carrier vanishes at some sinusoidal modulation depths, and that may also happen occasionally on broadcast material.