I've dried parsely in the microwave before. I throughly washed it and then blotted it as dry as possible. I picked the leaves off of the stems. I laid a double sheet of paper towels in the microwave and as close as I could, spread a single layer of the leaves over the paper towel. This is where you have to test yourself to be patient. Microwave 10 seconds at a time, check for dryness and repeat until completely dry but not burnt.
I think you could probably do this with the basil also since it is also a very thin leaf. I'm not sure with the mint, but since you have so much of it, I would experiment with it.