I suspect that will be the rate in the auction coming up in May.

It earns more risk-free in money markets than your mortgage rate probably. 

Note: I'll caveat: I believe that other factors should be considered when analyzing the market as well (i.e. economic growth/stability, low crime rate, affordability, etc.)

I’d suggest you call a PM or two and ask them 1) How much rent they would charge. 2) What fees they would charge you. 3) How long they think it would take to find a tenant at that rate.

My question is should I just suck it up until April, or should I drop my rent rates now to get renters.

In one building I saw rates of $50/night. 

Keep in mind that rates does not fully translate everything.

Alternatively you can do the LOC (line of credit) on it so you can retain the home but are definitely subject to today's current rate environment.

Postcards for example most people hope for 1-3% response rate.

non owner occupied may get taxed at a higher rate than owner occupied.