Cowfold Seagull
Fan of the 17 bus
Depending on how decent you want, there's Ockenden Manor in Cuckfield or Jeremy's at Borde Hill, both a couple of miles from HH and on the fringes of a Michelin star (Ockenden Manor used to have one).
Reading Westdene Seagull's review on the Restaurant 2019 thread, it would seem that Ockenden Manor has gone downhill big time since it lost it's Michelin Star though. For the sort of prices that they charge I would demand outstanding food and service.