The profile thing won't work (just thinking out loud on the theory). If you think about how chests work, the storage is global and accessible to all and any players. In the same vein, the special quest board is accepted globally for every player once it is being accepted, and disappears globally once the allot time expires.
I will give that theory a try anyway and report my findings, but I find that route unlikely.
(But hey at least you can "store" Qi Fruit with a hat as a memoriam)
Don't forget to clone the quest items like Robin's Axe though before you give them back to the villager to complete the quest. I think these are the list of those items:
- Robin's Axe
- Lucky Purple Shorts
- Berry Basket
- All of Birdie's quest items
- Pierre's Missing Stocklist
I dread gifting villagers gift cause I just can't find them at all, but ever since I unlocked Ginger Island at least I can find them all consistently going there at once lol. Just chucking Pearls at them whenever I see them and hopefully can get Penny up soon. I should hopefully get the Penny situation tested before you in that case then, I will report back with findings on that too if that's the case.
Also sorry for hijacking your thread for the fishies! Maye I should create a separate thread for that. Nothing much to update on that front though. The cousins do
n't work with training rod and the legendaries do work.
EDIT: Thought about checking with Junimo Chests shenanigans as a possible exploit but it seems like any glitches concerning that was patched in 1.5.2 as well. If you had a version before that this should work technically, but since Eric meant for it to be removed, any other exploits probably might get fixed, so I'm not worry about it. This could be an option for you though if you are laggard on the updates:
https://stardewvalleywiki.com/Junimo_Chest
EDIT2: Maybe we can also try putting these items outside of the farm on a table somewhere and then try retrieving them (if they are not already removed by game) after the quest is complete. Not sure how the items are checked for erasure but the Junimo Chests thing make me feel like the check is not as exhaustive as I thought.
EDIT3: Qi Beans are getting similar patches / fixes:
https://stardewcommunitywiki.com/Qi_Bean
EDIT4: OK, apparently I've been just really unlucky cause I just got the Radioactive Carp with the Training Rod just now, after not finding it in 13 Carps yesterday.