Launch new stablecoin pools with pool pipes (via curve) to replace the old stablecoin pools (non interest bearing). Stabilize can take a very smal fee like 0,02% per switching between the pools for the treasury. This will be used frequently, since users can take advantage of different prices (arbitrage trading if price is different) and get a higher STBZ yield without much friction. No wrapping involved, and probably low transaction costs per transaction.
At the same time, the basic function to keep stablecoins at their peg will be actively supported and improved. This basically simplifies and incentivises users to use curve, and let them farm at the same time.
STBZ Rewards should be transferred to the new pool in the transaction to make consistent dumping less likely. However, it should be possible to pull out the rewards at any time like in the old pools to keep it user friendly. Further, the suggested time dependent fee of 1-0.1% can be applied as well for the withdrawal. Together with the switching fee, 2 different income streams for the treasury would be created; a frequent one , and a single one when the user leaves.
Last but not least, Stabilize improves its brand identity as a protocol who takes it serious to add value to the ETH ecosystem by actively stabilizing stabelcoins (so far it`s a bit passive). Stabilize would be surely recognized more broadly in a positive way, and therefore supported from many sides.