We have a sunporch that overhangs the front door and woodpile.
It faces west and is not insulated well. Therefore it gets very warm in the summer and pretty chilly in the winter. I think it would be a great place to dry them without the risk of bugs.
We keep the door to it closed especially in this heat because our window AC unit is enough to deal with the main part of the house, but certainly not the added extra load of the heat from the sun porch.
I know the system well. We have a wall AC and window AC. We have a sunny room that gets hot and since we heat with wood, it gets cold too so we close it off from us as needed.
Keep in mind though that hanging peppers to dry works really well in Mexico and the SW USA. Temperate climates, not as well. You can get a cheapo hygrometer from walmart to know the humidity of different spots in the house. I think I paid $8 or something.
I can't get it lower than 60-65% in here this year but this year is not normal. We also don't have a tight house. I've never monitored the sunny room.
Above the fridge would be a good spot but for most people, that's a cleaning project first. :) People have dried and cured things in their attics forever.