I would think that if your Bridgestones have given you trouble free service for the past 10 years, why change to another brand. Personally, I would stay with the Bridgestone brand even if I had to pay a few extra $$$ for them.
Tires are the weakest link between your coach and the pavement. I've had Bridgestone tires on our first and current coach for the past 17 years with zero problems.
Good luck with your choice and safe travels...