Dunno if it's maybe a bit far for you and whether you might want one of the million + 1 identical Horley B & B's, but you'll certainly get a good welcome at Eaton Thorne which is about a 20-minute drive from LGW. They'll usually pick up from and drop off at the airport if you ask nicely.
http://homepage.virgin.net/eaton.thorne
Hope it helps.