I did a rooftop garden last year on a $150 budget.
Make sure you're stocked on seeds, create a shade canopy.
I would set a kiddie pool(if available) up and throw your pots in there, or better yet, convert it into a raised bed.
There were a few places where you would climb up to the roof using a ladder and little niches were built almost like attic space where the sun would still shine on. I planted a ton of Phalaris in soil and that ended up collapsing through that little niche. Good thing the building was already in poor condition otherwise it would have drained my finances fixing it.
On the roof we had Campsis Radicans, Corn, Mucuna Pruriens, Arundo Donax, Acacia Berlandieri, Opuntias, and some Safflower among many other things. You have to be able to water/mist daily.
Another idea would be to create a trellis of sorts that vines could climb on. That would at least give you something to grow whilst constructing the garden.
Hope that helps.
Best of luck on this