This thread has been officially derailed
Anyway, I wouldnt go so far as to say the sort of properties AMP describes would only attract "scum", because the prices mentioned sound more like buddy deals than worthless squalor. I believe there are actually a few nice people out there who own property which is paid in full, and are perfectly content with charging the same rates they did years ago so long as it covers property tax, upkeep, and kicks a few extra bucks into the owner's pocket. More sinister owners will raise the rent on people LIVING in a house just because they know they can squeeze a little extra out of inflated valuations or demand.
But I dont think you can just talk like these deals are all over the place to be had. More than likely these rare generous deals on rent are passed on to good friends and relatives, not really seeking random people applying.
Back to the topic of apartments on Riverside tho, check out Lincoln Park. There are a few random smaller places scattered about, like 3701 Riverside, Marella (39th and Riverside), Chalet (between 39th and 41st on Riverside).
The bigger places like Sundance and Legacy will likely have more of your typical apartment problems,
There are also lots of small apartment buildings along 21st between Boston and Cincinnatti which seem quaint enough and "near the river". Most of the places north of 18th on the river are baad bad places. Possible exception of those condos between 1500 and 1600. I am guessing the master plan of the Channels people was to level everything within a few blocks of Riverside and Denver. Just a hunch.