The 2 remaining months rent will be used for her final 2 months (Jan-Feb).

@Robert Prieto - So you would really be willing to carry 90% of the rent and all utilities to satisfy your lease with the owner between vacancies?

However, until you can verify the current owners expenses to justify anything less it is prudent to remain conservative in your analysis.  

Today, there remains an opportunity to buy and generate good rental income here, as it’s undervalued compared to other historic areas such as Palmer Woods, Sherwood Forest, University District, Corktown, Indian Village and West Village, where many people are priced out, or where rents don’t justify prices.Along with Midtown and downtown expansion areas, East English Village is on the high end for investment properties, with a bright future.

Since most lenders in an area will remain cost competitive, a percent or point one way or another is unlikely to sway someone doing many deals at once.

And upon inspection, the carpets in the bedrooms remain very clean.

I'm not an attorney but my off the top of my head guess at your liability is 1/2 months rent and most of the electricity bill, plus court filing fees, and if your lease allows for legal fees to you in a case the judge will automatically rule that you pay their attorney with no cap on fees, that could be more than the furnace cost, so if you can satisfy them with paying their full electric bill and possibly a further small discount do it.  

Then you can concentrate on the remaining candidates and use a finer filter.

-At Closing, I will get a loan for the cost of the purchase and the cost of rehab, the latter remaining at the bank.  

After that, I was going to use a large portion of the remaining (~$130K) toward the cash purchase of a cheap place I can rent in another city, hence the original post.