Also, be sure to confirm the status of the security deposits with the owner and tenants (via estoppel letter).

Even then, check the used sites for deals.

No one pulled a payoff to confirm the balance or looked at the latest statements before closing? 

Is there a minimum balance required to avoid fees?

The following numbers have been rounded to make math a little easier hopefully:Loan 1 (FHA) balance: $210,000Loan 2 (HELOC) balance: $50,000Property is conservatively worth $360,000Rent would conservatively bring $2100/monthMy question:Would it be possible to get a DSCR refinance loan to pay off the two existing loans?

Since you're in the medical field and likely balancing a demanding schedule, here's what I’d recommend as a starting point:1.

As I was living out of the country, I set up 'auto-pay' for regular bills, and alerts on bank accounts to keep abreast of any excessive dips in balances or unusual activity in general.

I would think ahead about how it is going to turn out and if you  have criteria for terminating the lease.its always a balance of what is happening in your rental vs. what you are will to put up with. 

Step2: Check out @James Wise and the HW YT site and all the videos.

As I was living out of the country, I set up 'auto-pay' for regular bills, and alerts on bank accounts to keep abreast of any excessive dips in balances or unusual activity in general.