We put in a turfmat on one of the most damaged tees at our local course for around 6 months. (Local park manager had given permission, but the city park people wanted it pulled up again when they saw it.)
Turf-mats are IMHO the best Tee-surface there is. They work well in all weather conditions. We had ours up during cold season, and no matter the conditions they worked extremely well. There was no maintance needed once we had put it in, and afterwards you couldnt see any wear at all on the mat itself.
The disadvantage to turfmats, is that if you want it to be done well, it will take a bit of work.
We dug out in a depth of about 25cm. In this we filled sand and gravel that was repeateadly pounded/flattened. When we had refilled the hole we had created, we put the Turfmat on, and then distributed what was probably 200-300kg of fine sand on the whole mat. (5*3meters) This ensured that the mat didnt go anywhere at all. When the sand on the mat had been broomed all around, you could no longer see the sand.
It took 4-6 guys probably at least 4 hours to put it in, so quite time consuming, and preferably you need one of those machines that vibrates/flattens the sand/gravel.