The plan is to place the heater on the timer and switch the fan and light.

I have to check again, but I believe the heater is rated at 1000 watts.

The largest wattage timer I have run across is 600 watts.

Can anyone steer me to a supply house who carries higher watt timers? Perhaps my google fu isn't up to snuff.

Here is what I have found and what I had in mind (only higher watt timer).