Sometimes the best thing is simply time, especially when it comes to your credit score. 

Or are you simply waiting without numbers in mind because you're confident the market will drop and you'll buy when it feels right?

Unless you are buying cash many deals simply do not cash flow.

You can simply have your partner apply for a Refinance on his own.

With the unknown time period for eviction, should we offer $1-2k simply to get her to move out and begin fixing the property for a new tenant? 

One alternative would be to set up an interest bearing bank account and simply put the accelerated payments into that instead of paying down the mortgage.

Some providers simply sell the property and the investor is left to find a management company, maintenance personnel, snow and lawn care providers, etc. 

Or you could simply use websites like BlockFi and buy either crypto currency like bitcoin and etherium and collect 6% interest on bitcoin, or 5.25% interest on etherium while you (hopefully) also get price appreciation. 

If your on title then I would think you would simply refinance like you would any other house that you own.

In the case that it’s a smaller multi family, like under 10 units, I’d simply say look for a new lender and learn as you go.