Greg, I live in Western Suffolk (Huntington) and have always used Classic. Their website is www.classictrans.com. We use the shared van service because there is only 2 of us. I probably use them 1x each year and have never had a problem. Because we are in Suffolk they usually make stops in Nassau to pick people up but I have always arrived at the airport in plenty of time.
I think they also have a private car service if you're interested in that.
I have checked a few companies and I had no idea the airport rides had gone up so much. The roundtrip to JFK will cost more than I paid for my air ticket to Orlando!