L.J.
The problem you are having with your carby is a very common one, especially a concern in aircraft, go talk to your local flying instructor, he'll probably be able to show you the skids mark in his undies due to icing issues.
With the operation of a carby, there is a low pressure inside the throat of the carby (sucking of the engine), when you decrease the pressure of a fluid ( air in this case ), it lowers the temperature of the air mass, when you are at high relative humidity and lower temperature, ice can form in and even block the throat of a carby, in and aeroplane this can be the start of a very bad day (hence the skid marks).
If the problem you wish to solve is:
1) the visible ice in the carby body, spray it with CRC, Lanox or similar, this will stop the ice bonding to the body,
2) loss of power due to blocked carby, have a small tube in the throat of the carby sucking hot air off the exhaust, this will increase the inlet temp of the air and perhaps avoid/melt ice, but this will decrease the density of the air, i.e. less power at the back wheel.
Heating the fuel is another option, but in my opinion you'd need balls of steel to try that one, what's the flash point of your fuel, I would not want to find out.