Carburetor solenoid shouldn't be freezing up. When you do get it running put some dry gas in it.
A big microwave lol
put a light bulb under it
Please send up some warm weather, anything above 32 degrees is good
A trick we have had success with is a hair dryer. Warm up the area around the carb. Normally takes about five minutes. You might be wishing for warmer weather, but for me a couple of feet of snow would be welcome.