Ursarctics struggle to play the resource game, and their new support card Ursarctic Radiation fixes this problem..... kind of. So instead add Melffys and drown in resources!
Main strategy here is to use the bears for what they should be used for: handtraps and synchro summoning. High level bears + a Melffy is a free Baronne (aka Synchro Dragoon) on board. If you're in a pinch, Rescue Cat can turbo out the materials you need to summon Halqifibrax and synchro on your opponents turn. Obedience can get you a Joyous Melffy on board for disruption plays in case you draw bad. Anything is better than nothing, which is what the bears alone leave you with. Ideally you open Radiation and just go nuts on summoning bears to keep adding cards to your hands.
Also the level 10 Swordsoul Synchro works amazingly well with the deck. With Big Dipper on the board, you can banish bears from the graveyard to summon from hand. This means you can use the big bears for their hand trap functions, and banishing to summon them lets you banish from your opponents field and graveyard with your Swordsoul!