As a SFR investor for over 15 years I have been wrestling with this question in the past, because it feels like you should upgrade to "bigger".I know for sure that I would not enjoy the ownership experience that comes with a small 4F, because in Milwaukee that typically also means lower income tenants. 

This is typically for most people not a DIY project. 

I find these to appreciate better than your typical LTR here which are usually in C/D class neighborhoods.I tend to look at each Real Estate opportunity as what its highest and best opportunity is. 

The typical income from a free and clear rental would probably be $800-1500/month - and on a financed rental probably $300/month on a good day in today’s market.  

Quote from @Ogonna Odo:  Small ones will not, they typically like cash or checks.

It doesn't sound like that has happened here because you keep saying you want to transfer it etc...essentially you want to give them the property, because right now today they do not own it and have not completed AP...you're doing their job for them. 

If so is there a typical investor profile? 

Most likely the new lender is going throught the foreclosure process and typically will end up taking the property back.The original posters chances of getting this property back now is slim to none as it will be sold at market value.  

Typically these policies are also capped at a max interest rate around 8%.

I typically focus on off-market deals, so I didn’t work with an agent to find this property.