OK, you guys got me going...
I had researched this in the past and was told that the city of Houston will not take any inert material like tile, cement or bricks. And my trash service charges $125 for a dumpster for this kind of stuff.
So thanks to glatt's suggestion I called the county landfill that services my area's trash companies and was told that if the tile is separate from any other construction trash they will take it for free as they crush it up for road building.
This solves my problem!
