The mirror heaters are automatic, you dont switch them on yourself, they only come on when the temperature is around freezing, so in your case, using the heaters to dry off rain drops in temperatures above that they wont as they wont come on.
Many cars they come on when the heated rear screen is on, but with the MINI they dont.
I think you would be wasting your time with the standard fitments if thats what youre looking at? unless you can find someone to fit the heaters and make them work off an independent switch you operate??