I went digging. It seems I've found a few things. First, quite a few people recommend using chevron fuel injection cleaner. They claim it took the sulfur and other deposits of of the fuel level sending unit (in the gas tank) and they were good to go in a few drives. If you frequently get gas at a shady place this might be it, but I see you live in Dallas so it's unlikly since you get good gas in the south, 93 too!
If that doesn't fix your problem I would look into replacing the sending unit. You don't have to drop the tank, under the back seats of our car is a access hole to get into all the goodies in the fuel talk. It's not too bad.
I'm guessing there is no check engine
light? If not It sounds like the sending unit just has some crud on it and hasn't actually stopped functioning. Since a lot of people have had your problem and reported success with the Chevron I think this is your ticket.
Update: People are also having luck with seafoam, so if you like that better go ahead and try that too.