I have some properties on low rates 2-3% range which I'm in no rush to pay off.

It can also be very expensive and the limits are usually low.  

This means the value will be at the low end of the comp range

Just be aware that the city is underdeveloped and you might want to be extra careful when choosing tenants to make sure that you'll be collecting your rent every month. 

If you've already gotten kids who want to sign in December, you should have plenty to choose from in February or March.

I would just recommend choosing a property that doesn't need heavy rehab.

Yes, an insurance company can choose to not underwrite the policy because of the roof condition. 

Most tenants will neglect the landscaping and we usually recommend low maintenance landscaping to owners.- Lighting fixtures- Smoke alarms / carbon monoxide detectors- Window and door repairs- Water heater maintenance

If you want another layer of protection get an umbrella policy.You don't want to trigger the due on sale clause for a likely low interest mortgage.Also if you aren't operating your LLC 100% you likely only have a false sense of security. 

Shotgunning a bunch of low offers is a waste of time, and will only hurt both yours and your clients reputation for not being a serious buyer.