My first purchase over 30 years ago the piti equaled the market rent which implies it was cash flow negative when including all expenses.  2012 to 2021 was the good times for RE investing in San Diego, but most people could not see it.  

If there is nothing in the lease (and telling them they can't break it, won't hold), then they gave you 60 days' notice which may be more than required by law try to get it rented and let them know they are responsible for rent until the end of the lease or if it gets rented before that. 

It breaks even with a loan of like 100k-ish.

Neither of us want to break the law.

I have Rehab and hold 2 properties and rehab / flip 3 including a duplex.

Does your refinance include a return of capital at that time? 

I'll be honest, my searches have been a little disappointing to find anything that will break even in terms of cash flow.I came across a couple condo-hotel locations and looked into them.

However, despite several months of searching, I'm struggling to find properties that break even, especially with current interest rates.

Your mindset is the same as "I have a girlfriend and we will never break up because we are in love".

@Mikal MAxim   If your debt to income ratio including your rental income on the subject property is under 50% and you have good credit you would likely qualify for a conventional loan.