Based on your situation, it appears that a "subject to" real estate deal might be a suitable solution for both you and the seller.

I would like to continue to buy properties that are suitable for medium-term rentals but want to better understand which markets in MA or NH have a higher demand for travel nurses. 

You 100% need a boots on the ground advocate (agent, family, or friend) for you who is going to see the property in person and ensure that it's a suitable investment.

You have a contract for sale and you are selling the contract related to an address that you will provide to a contract buyer, but the buyer must do their own research as to the suitability if that contract is a purchase they want to make.

When I was selling real estate, I'd market a house like this as Rehabber's or Handyman's Special and include a statement in the description that said "Not suitable for FHA, VA or USDA loans".  

However, folks with suitable incomes can still qualify for financing with their existing down payment reserves.My $0.02 ...

This approach is suitable for those looking to generate steady income and benefit from potential property value increases over time.Fix and Flip: Investors buy undervalued properties, typically in need of repair, and renovate them to sell at a higher price.

I'd suggest chatting with your property manager for advice to evaluate which offerings are suitable and promising in your local area.

Suitable for larger projects or one-time investments.Cash-Out Refinance: Replaces your existing mortgage with a new loan for a larger amount, allowing you to pocket the difference as cash.

I'd think in Philly you'd be extra cautious depending on the area.You may want to do a 1031 exchange to get rid of that property and find one more suitable.