Why put yourself--as Buyer OR Seller--at risk by considering a closing outside of a title company's involvement to save $500 or so on what likely is the largest single financially related event in your life. If I am buying a $300,000 home, I would want a "professional entity" (and I don't mean a real estate agent or broker) to prepare the closing documents, collect the deed from the seller and file it with the County recorder's office, make sure the seller's mortgage is paid off from the funds that I borrowed and brought to the closing, and to hold back any unforeseen charges for water or other bills that the seller's responsible for, but weren't paid by the closing. Or how about the property taxes being paid to-date? Those are commonly billed once or twice a year in most states. Gonna' trust the seller to say they're up-to-date? I think not.
You get what you pay (or don't pay) for in this world, folks. Don't trip over a dime to save a nickel.