I can TT her into boxes at any time. I'm looking for almost any bear, so if you have one moving we could trade, but if one becomes available soon I'll have to void her.
I would offer you Beardo if I still had him. The only bear I have is a cub. Perhaps I could keep an eye out for threads that are trading or giving away bears in the future for you?
Flora wouldn't be traded or cycled out of my town. She's one of my absolute favorite villagers.