Hey Norm!
Glad you posted. You have the chance to avoid what I think would be a big mistake. I've bought numerous properties in the "ghetto" (not war zones). I rehabbed and resold some, flipped some, and held some as rentals. The ones I held as rentals are a huge pain in the butt.
Based on my own experience and the experience of several experienced investors I associate with, here's what's likely to happen with that house should you choose to buy it ...
1. You won't be able to re-sell it for the next 5+ years since the vast majority of buyers in low-income areas have been completely wiped out of the marketplace. They can no longer qualify for most loans. So the ARV is meaningless if you can't sell.
2. The repairs will be MUCH more than $3k. Potentially five times that amount over the next 3 to 5 years. This is due to the incredible amount of deferred maintenance that has likely accumulated over the house's' lifetime.
3. This tenant will be a huge pain ... they may pay on time since their Section 8 money depends upon it, but they'll request all sorts of frivolous repairs and complain about everything. Most tenants in low-income areas fit this mold.
4. Your tenant will leave in a year or two, and you'll have an extremely difficult time finding another good tenant. Potentially months of vacancy. There goes your ROI.
5. Once you find a tenant you think is good, they'll prove to be otherwise. They'll destroy your house and fail to pay rent. You'll end up evicting them.
Bottom line: Rental properties in the ghetto always look good on paper and almost always turn out to be a disaster in real life.
Wholesale all properties on the low end and move on. Hold rentals that are at or slightly below the median value for your area.
Hope that helps!
Doug