It's a great idea, but there are some issues with efficiency. As stated previously, driveway heaters are available. Most consist of very thin thermal wiring interlaced in the concrete.
The problem is these units use as much energy as a stove, far more that a solar panel and battery system with inverter can provide. Heating water and running it through plumbing is even less efficient, so both of these systems would not be sensible for most courses.
The best solution is to just texture the surface of the concrete, allowing the moisture to accumulate in the crevass's, leaving the area contacting your shoe dry and grippy. There is no worry of someone in high heeled shoes hurting themselves, so making the surface textured should not cause any problems.
For pre existing tees, maybe have someone come and cross cut channels with a concrete saw to improve drainage.