It's possible to leave the lid off and put a cloth or paper towel on top to catch splatter.
Bonus: you don't fry the shit out some of your food while other spots are cold.
I usually do a brief period on high if something came from the fridge, and then drop to a lower power level. On my microwave "programming" this is actually pretty easy; pushing the power button after entering time allows you to set a second power level and time.
I do agree about the part where you mention frying part of the product while the rest is still subzero. Power reduction is useful, for me it just doesn't adequately prevent splatter