Composting in place?

I have 2 beds that have field peas tight now. The peas are about at the end of their production. I'm planning on planting bulb onions in these beds come January. I thought I might just cut the peas down & pull up the plants & let it lie there for the next several months until it's time to plant the onion seedlings.

But now, I'm starting to worry about leaving the vegetation in the beds since it might be an overwintering area for bugs, especially stink & leaf-footed bugs. I'm starting to see a few stink bug adults on plants & they're probably looking forward to mating & laying eggs.

Should I let the pie debris just stay in the beds, or clean them up & put them in the compost bins?
Jo-Ann

I don't really know about how to prevent bugs.

Would it help to turn the pea plants under the soil? If the bugs don't burrow, that might keep the plants away from them.