If my calculations are correct, on full power you should see about 1A going through a channel if you can measure the current to verify. If you adjust the dimmer down, the amps should drop accordingly with a low around 500mA. From there you can see what current you want to drive the LEDs at. There are fixed/adjustable drivers that put out a range of current to drive LEDs. I'm just speculating on your setup since I don't know what other components/variables might make up the circuit as I'm going off of my own experience with DIY LED fixtures.
Several options I can think of as work arounds to fix what you're experiencing are:
1. LED driver
2. Rheostat that can handle the specs the power rating
3. Relay switch where you can keep the remote control dimmer on the whole time and use the timer to engage/disengage the relay switch to control your lights circuit
I may very well be over complicating this issue due to my electrical background too.