So it's conceivable that you could find a place perfect for you that is less than the property you are selling.I'd then balance my debt so I take more on the primary and use excess cash to pay down or off the new rental. 

Also, if the quotes are from Non-Standard (aka Excess Market) companies, there may be more exclusions to the coverage. 

Usually about monthly, I transfer the excess cash to a savings account.

I aways did 30 then each year dumped down the rental plus any excess I could afford after keeping some for emergencies.

They are the bricks that are exposed to excessive heat, likely because they were too close to the fire when made.

It matters the size of your property and how large the new unit would be.https://www.phila.gov/media/20... [2] In the CMX-2 district, the number of permitted dwelling units is as follows, provided that, whenever the calculation of permitted number of dwelling units results in a fraction of a dwelling unit, then the number of permitted dwelling units shall be rounded down to the nearest whole number:(.a) A maximum of two dwelling units are permitted for lots less than 1,440 sq. ft. in area;(.b) A maximum of three dwelling units are permitted for lots that are 1,440 sq. ft. to 1,919 sq. ft. in area; and a minimum of 480sq. ft. of lot area is required per dwelling unit for the lot area in excess of 1,919 sq. ft.; provided that(.c) If the green roof conditions set forth at §14-602(7) are met, the number of units allowed is 25% greater than indicated by the foregoing lot size requirements, applied prior to the inclusion of any other applicable increases in allowable units, and the provisions of subsections (.a) and (.b), above, shall not apply.[3] In the CMX-2 and CMX-2.5 districts, in order to promote active uses at the street level, buildings must contain a use other than residential and other than parking along 100% of the ground floor frontage and within the first 30 ft. of building depth, measured from the front building line.

Even if the standard markets will not write it, there are specialty (aka Excess or Non-Standard) markets that can cover you. 

. $995K asking price, 31 beds, generates in excess of $111K in annual revenue.

I find it incredibly easy to achieve returns far in excess of this interest rate. 

It never hurts to have excess reserves for whatever rehab you line up on your house hack if you have to wait.You may also consider a co-signer from a parent or relative if that is available.