Hippowdon is probably the best counter to Cinderace. It has a whopping 118 base defense, Slack Off for recovery, and Whirlwind to blow away a Cinderace trying to Bulk Up to power through Hippowdon.
Mandibuzz has a pretty respectable 105 base defense, Foul Play to punish set up sets, Roost for recovery, and a slower U-turn for pivoting to a check.
Slowbro has a very good 110 defense, Regenerator and Slack Off for recovery, Teleport for pivoting, and Scald for a burn chance when Cinderace is not Fire type. You could also run Thunder Wave to stop the Bulk Up + Sucker Punch sets. Most unboosted U-turns/Sucker Punches will 3HKO at best if running Max HP and Defense EVs, so Cinderace can't really do much. Oddly enough some Cinderace opt to run Electro Ball, so watch out for that, because it will OHKO any Slowbro not invested in Special Defense.
These are probably the only three Pokemon that can reliably handle Cinderace.
Hope this helped!