When I had PF, cycling never bothered it, so I can’t really comment on that.
But I spent months and months struggling with PF…two things finally got me straightened out. 1) Really working on my glutes. The leg is one long kinetic chain…chances are your root cause is someplace else, and for cyclists, that is usually the glutes. SIngle leg squats, monster walks, balance pad work (single leg), bridges, etc. 2) finally getting a stress fracture diagnosed…it has was largely healed by the time it was diagnosed, but I had to be completely non-weight bearing for 6 weeks. That finally gave my PF a chance to calm down and relax.
Sleeping in a night splint also helped relieve the pain first thing in the AM. You can also try rolling your heel and foot on those small spiky therapy balls, or even just a golf ball. I used to really dig into them…hurt like a MF’er, but it helped relieve symptoms.
I would also roll my foot / heel on a can of frozen beans. Forget about using a frozen water bottle, use a can of beans. It stays frozen much longer and you can really dig into it since it is harder than plastic.
Injections never helped me…