I don't know about your stuff, but most of ours looks fairly bad. We are leaving it alone right now, putting tires on it right now will likely do more damage. There is no telling how many cold nights we will have before spring. We had 24 again last night with a heavy frost. 11th night below freezing this fall and winter. The frost is really what is messing them up, the lawns that are protected by trees are still in fairly good shape.
Wait until a little green is showing up above the burned surface, then cut it. It will likely look bad when you first do it, but within days it should look ok. Then just don't cut it as low the next time.
We are not encouraging customers to water too much right now. Alot of St. Augustine has gone completely dormant (unusual) and it would probably be better if it stayed that way for a while. The ones that really got burnt were the ones that had been fertilized recently by outside spray services. They loaded them with nitrogen to get some green back in them in early December. The ones that were properly taken care of with low nitrogen/ high iron formulas in November aren't all that bad and are still showing some green below the surface.