Is there an option to 'park' deals in Pipedrive? Deals I probably should delete but may have to recall.
A couple of things you can do:
These 2 suggestions, more importantly the second one, works if you work out of your Activities tab 100% of the time.
You could possible use the Leads Inbox to meet your needs. I think it is still in testing mode.
You could change a deal to a lead and store them there. You can archive leads for later too.
It wouldn't sync all your activities/notes from the deal though. You can link organization and person to a lead.