Just to be different. I’ve done c2c on and off road including way of the roses. I didn’t like the last 3rd after York. It went around the houses, took us on muddy bridleways, we seemed to go round in squares just for the sake of it. If you are taking your time and not on 25mm tyres then you might enjoy it.
The 3rd time we did it, we changed it from ripon and ended up going past light water valley and through Dalby (on the road) and ended up in Scarborough and it was far better in my opinion. We rode it in a day but distance was similar to the original.
Ending in Bridlington isn’t great for transport. It’s not much further to cycle to hull after for better train times and cheaper fares. Its pretty flat on that coast.
Let me know if you want a gpx of an alternative route.