Run the pivot at realistic occupancy and it gets thin. $2,450 midterm times twelve is $29,400 if the place never sits empty. Midterm turns leave three to six weeks of gap unless you're stacking tenants back to back, so call it ten months paid, $24,500. Take 10% management, $2,450. Utilities and internet stay on you in a furnished midterm, roughly $300 a month, $3,600. Turnover cleaning four times a year plus consumables and linen, $800. You land near $17,600 against $23,400 of PITI. That's worse than the nightly operation was, and it's before any repairs.
So the pivot isn't a pivot at that rent. What would change it is the hospital channel specifically. Travel nurse placements are typically 13 weeks, they renew, and furnished units within walking distance of the hospital price above the general furnished comp. If your $2,300 to $2,600 range is drawn from all furnished rentals in the radius rather than from units actually leased to clinical staff, you're underwriting the wrong comp set. Pull listings on the housing platforms the staffing agencies use and see what a 13 week rate looks like there.
On your ordinance question, @kestrel is right that the definitions section decides it, and the drafting genuinely goes both ways. Have a local attorney read it, because the penalty for guessing wrong is usually per night.
The thing that follows the 30 day line in most states is landlord-tenant law. Past a certain length of stay your guest may become a tenant with eviction rights, meaning a bad occupant is a court process rather than a cancellation. That risk is worth more than the cleaning savings, and it varies by state.