So far, all your Punch cartoons posted here seem to remain intact, not yet replaced by the: "3rd Party Hosting has been temporarily disabled" message.
Perhaps you need a BillWill-type to write you a bit of code to crawl and save all of those images on Photobucket if you've not got them saved on some device at home/cloud.
I guess Photobucket is hitting you as being a "heavy user", whereas my account is pretty thin (805 photos taking up 2% of my storage quota) and solely for puerile crap. Which seems to be a lot of Wayne's World (1 and 2) with subtitles:
