>Quickly throwing up cheap mass housing without also organically growing the services and rest of the community is how you get food deserts and ghettos though.

Not sure if this is the case overseas, but here in Melbourne (AU), it's really common for new developments in built-up areas to consist of a shopping centre with supermarket on the bottom floor, and a large amount of (nice) apartments on top.

Seems like a good way to solve the density problem without also isolating people from shops and services.