I’ve been running into this same issue! The quickest workaround I’ve found is similar to the other one suggested here – basically just setting a hot key for ‘export frame’, setting which folder the export should go to and then using my ‘go to next edit’ hotkey so it’s just a quick series of keystrokes. The only problem is if you have a million edits in a row it can still be super time consuming.
If Premiere could have actions similar to Photoshop I think it could be a very simple process, but unfortunately that doesn’t exist yet.
Not really helping solve the problem…just hoping if this thread gets longer maybe Adobe will do something to help!