Well... You also have missed holding anything back for CapEx and property management. I think most people generally use 5% as a guide for maintenance, vacancy, and CapEx each and then another 8-10% for property management. These additional expenses are going to pretty much wipe out any monthly cashflow that you might have achieved.
Monthly expenses $710
Maintenance $48
Vacancy $48
CapEx $48
Prop Management $76
New Monthly Exp $930
So personally, I would think that this doesn't make a good rental option with the other numbers that you have provided. Now, the rub here is how much of that $10k is closing costs and how much is rehab? The reason I say this is that you might be able to reduce the closing costs with a creative financing option like "Sub To" or owner finance if this is possible. The other thing is concerning how much rehab you are doing and is this absolutely necessary to command the $950 rent or does this maybe put you at a level above the other rents in the area?
Unfortunately, even if you can eliminate the closing costs and rehab budget, AND you self manage and choose not to factor this in (not recommended), this is about the only way I see you getting this to a decent cashflow of close to $200/mo. Of course the likelihood of being able to completely eliminate the rehab and closing costs is probably close to zero, and that puts your cashflow with self management and not factoring that cost in (again, not recommended) only about $100/mo so this really doesn't strike me as a good rental property option.
I would take the $13k and call it a day. The only other possible option on this for me would be to owner finance it out to a buyer if you can make those numbers work, but that might be just as tight or worse than the rental option.