So auction the tourist lodging right like taxi medallions, to hotels and home bnbs alike. The move you describe will likely enrich the hotels that already exist downtown without any benefit to the city.
But they don't, do they? The whole point of these "rent 90 days a year, apply for a new license every year" laws is to impose an onerous burden on Bnbs that traditional suppliers either don't face or can amortize over hundreds of rooms.
It's laughable to require a single rented room the same paperwork that a large hotel requires, then say that enables them to "play by the same rules as everyone else". They are a fundamentally different way to provide the same economic service and the law needs to adapt, not protect traditional interests.