Okay, I have a lot of chickweed and some other low growing weeds in my beds right now. Our four feet of snow finally melted to reveal weeds!

I have too many to pull by hand. I've been pulling them up with the hoe and lightly raking them into small piles rather then turning them into the soil. Unfortunately I'm raking up some of the leaf litter too, but there wasn't much to begin with, so no great loss.

I was considering composting the chickweed and leaf litter that I've raked up, but it will take a while to break down. If I allowed my little piles of weeds to lay out in the sun and die completely, could I re-distribute this mix on top of the soil again and then top that off with some aged horse manure and sawdust, also maybe some bark mulch eventually? Would that be beneficial at all, or should I just compost the stuff? Could the weeds spread that way?