😂 You reminded me of Neurogalaxy's little traveling feature and of Pokefarm's scouring, brain took the idea and ran wild with it.
I think the adventuring idea you gave me might warrant its own suggestion because it's not strictly battle-related, but yeah. It would be something new to do with pets that won't immediately be heavily in favor of users who train all of their pets, or those who have a ton of really beefy pets that can just smash through most challenges. Plus, if some of the prizes are account-bound in a way (EXP, acct-bound stat eggs, battle tokens, currency, etc.), it's potentially a little less fiddly to balance?
Oh the once an hour thing was solely based of the time frame of the event that went on at the other petsite, I would prefer something like that to be more of a once a day attack. Because an hourly attack would severely devalue items especially, retired/restockable items.
Omg I so miss NeuroGalaxy's random event traveling battle system. That was truly unique :3

Yeah, I originally thought about the boss being a pinata, but found it more motivating to find other ways now there's less emphasis on your pet army's battling capabilities.
I agree with your concerns about those who would immediately be in favor. Fortunately like the job agency, we can make the starting requirements for the pets to be low or nonexistent to begin with.
The prizes could be tweaked, and I think account bound loot would be good for starters. I have mixed feelings about stat eggs because they are only great when you can use them.
I've seen games with similar features to that and it'd be cool too! I would just love to see more dailies (not hourly things because those alerts get crazy annoying), that helps battlers whether they have top tier pets, one battle pet, or an army!
I still wouldn't mind it being somewhat stat related as most of the people who do battle already have decently trained pets. And people who are just starting to battle would have another goal to reach besides being able to farm new challengers.