You sure sound like a driver who owns the road. Nobody expects you to pass on a double yellow. You are supposed to slow down as needed to stay behind the cyclist until it is safe to pass.
I hear this often, but it doesn't make sense to me. I have one single route to get to any destination, and because one person wants to ride a bicycle on this round, >5 cars will often be lined up behind the bicyclist traveling >30 MPH below the speed limit.
Of course, it's the drivers who feel they own the road in this scenario (even if it's one driver).
This is the transportation system that exists. I didn't create it.
> Nobody expects you to pass on a double yellow.
The bicyclists literally try to wave cars past them when they can see the other side of a corner. You are making an assumption, and that assumption is wrong.
I never did this because the bicyclists care that I leave and have zero accountability for their waving. Twice I had bicyclists do this and cars arrive around the curve during the time that I would have been passing. Literally, the bicyclists were actively trying to create head-on collisions.
Fortunately, most people on that road were very well aware that traffic was both busier than the bicyclists understood and faster due to higher speed limits that the bicyclists were generally oblivious to.
So what I don't understand is what else you think a cyclist can do in this situation other than not existing and bothering you. There's no alternative route.
I see a really consistent trend of people who feel it must be the case that the bicyclist must be justified in what they are doing, then go on to make assumptions that are wrong, just as you here assumed something about the road that is wrong.
You started with "Don't ride on narrow back-county roads where you block the regular flow of traffic.". That sounds to me like, don't do it at all, not "please pull over every so often to allow card to pass".