In my opinion, If you want to live well inexpensively in a city, you should move to a central, walkable, just-starting-to-gentrify neighborhood and accept that it isn't perfect yet. Unless you're really in what real-estate investors call a "war zone" (which is not the kind of neighborhood I'm talking about), fears of crime are really overblown. Think about the issue rationally and you'll realize the actual increase in risk is insignificant.
I agree with you. If you can find a good deal in a neighborhood that is starting to gentrify, and you like the location, I think you should definitely pursue this option. Sometimes that isn't always possible. Also sometimes buying an already reno'd house is as cheap as buying one that needs work and doing it yourself. In general though, even these neighborhoods will be more expensive than living further out so I think the question still stands.
I live less than 4 miles from the Georgia State Capitol building, in a 1500 ft^2 3-bedroom house that's worth about $150K-$200K or so. Within that four-mile radius, I could buy a house like mine for any price between about
$25,000 and
$500,000, depending on the neighborhood. (I realize those two listings are probably not comparable in condition, but they are at least both livable, as proven by the fact that the cheaper one allegedly has a tenant currently living in it).
I have a friend who bought a house similar in size to mine out in the suburbs (between Marietta, GA and Roswell, GA). Zillow thinks his house is worth about $170K.
My wife's parents' old house, which is also similar but in a completely different suburb even farther out (near Snellville, GA), is worth about $130K according to Zillow.
Basically, the point I'm trying to make is that in Metro Atlanta, house prices are much more correlated to crime and school quality than they are to distance from downtown.
I should also point out, however, that living near downtown also has an advantage in ROI. My friend and I bought our houses at about the same time, in 2009. My house's value has more than
doubled in the last 5 years, while his house's value has stayed the same. (At least, according to the Zillow prices for both houses... I believe the trend is correct, but the difference is less extreme than Zillow thinks). Picking the urban core over the suburbs is (in my opinion) much more likely to pay off as a speculative investment.
The reason there is such a wide choice in house prices near downtown Atlanta is that there's been a wave of gentrification traveling clockwise around the city for the last 30 years.... I suppose that in another 30, when it makes it the rest of the way around,
then living near downtown will stop being affordable.