Have you tried Acuvue Oasys? It's made from silicone hydrogel (little water contact) and is a relatively rigid soft contact lens. You might also treat your dry eye by getting punctal plugs, using Restasis, using humidifier in home.
A few low water contact brands are Focus Night & Day, Acuvue Advance, Acuvue Oasays, Purevision. It might help if you found a very knowledgeable optometrist.
I just read about another great alternative currently available in the UK only: 1-Day Acuvue True (made of silicone hyrdrogel). They're supposed to be available here in the USA soon.