Um, if jumperoos are anti-AP then I'm going to get kicked off the mothering website. Seriously, I didn't ever use mine that much, but there were days when I just needed a cup of tea or I was going to fall to weepy screamy pieces, and guess what? DD was happy to hang out in the jumperoo for a couple minutes while I had my cup of tea. She is a very high-needs baby but could usually handle five minutes.
My DD is 10 months old now and I swear I didn't have a minute to myself till she was 8 months old (and now she's crawling all over the place/pulling up and cruising on everything) so I understand how you're feeling...but I really don't think it's anti-AP to take care of yourself. AP is about responding to your kids and letting them gradually develop their independence while knowing they can rely on you...not about amusing them every last minute for 18 years.
Now my DD is completely over the jumperoo (she can stand up on her own) but here are some things she will use to occupy herself for a few minutes, in case they help you...obviously, you have to supervise, but you can at least be on the other side of the room catching your breath!
--a plastic buggy thing (like a tiny tot's tricycle)--she pulls herself up on it and pokes at the toy levers, wheels, etc.
--a cabinet that's "hers" stuffed with kitchen utensils and random junk she can chew on
--tupperware and boxes with stuff inside. Big box with yarn balls inside. Small box with stickers on the outside that she can reach into and fish for little toys.
--big ol cardboard box (the box the carseat came in was great). I chopped a window into it with scissors and she would crawl in, crawl out, play peekaboo, etc. for AGES
--big ol cardboard box with hole cut in so she can fish stuff out
--teakettle, especially if there's stuff inside that she can fish out (are you sensing a theme here? :) )
--we store all her toys and books in a couple of cube boxes made of cloth. If I tip over a box in front of her, she'll usually get a good 5-10 minutes out of pulling things out of the box one by one, examining them and flinging them away.
Basically, my DD is big on anything she can move parts of and/or fish things out of. Even a pile of laundry will do, provided it's brightly colored and has pictures of stuff on it so she can look at it while flinging things across the room. Hopefully your DS will be similarly amused, and your sanity will be safe! :) Best of luck!