CJ, it amazes me how you forget something you suggested. 3 days seems to be enough time for PS to get elf tears, weasel snot etc. for use in the battle. So he has what he needs to summon Death and get his scythe. Hell, he could also probably get the necessary regeants to summon the Weasel King. He could also spend that three days to get the necessary pang nectar to be able to use Sepulchritude. Since he uses the 8th comb to preform Sepulchritude, he also has 7 other combs to use to pull off Comb Raves.
That's fine, and I can accept the things he needs to get Death's scythe (not Death, because that's an ally and I thought we had established no allies.)
However, even that's a stretch. These people are given what they usually carry on them. For Problem Sleuth, that would be his hat, various weapons, and candy corn. Also the stuff for the scythe because I am being very nice. Roy gets a pistol, his coat, his transmutation gloves, and a badass officer's hat.
Pang nectar, on the other hand, I don't understand how he'd acquire that. There is no "power grocery store" that they can access. They are brought with whatever they usually have for these battles. Also, a lot of Problem Sleuth's bigger attacks require Hysterical Dame to be hurt. With no Hysterical Dame to BE hurt, that's a chunk of his attacks out the window as well.
CLARIFICATION EDIT: In short, the three days isn't meant to be spent collecting items. It's spent researching your opponents, and physically and mentally preparing yourself. Lift weights, run laps, meditate, whatever you feel like doing. Problem Sleuth would likely spend most of that time in his fort, let alone actually acquiring items he shouldn't have.