Small elopement ceremony in the greater Houston area

My fiancé and I finally got our wedding license today! We wanted to do a small elopement ceremony at the courthouse, just the two of us, but it is booked every weekend from now until November.

Does anyone know of a service that can help us do a small weekend elopement ceremony? An officiant that can recommend a spot and officate? Even a chapel, public area, another courthouse, etc. that we can book last minute?

I'm a little frazzled trying to figure out where we can do a small ceremony like this with or without a permit in public places. We're on a tight budget right now, so looking for cheap (< $400) options.