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The answer in this post about solar collectors mentions that you can assign collectors to building surfaces like roofs OR shading surfaces. This is also supported in the Input Output Reference document for EnergyPlus, specifically the description of the Surface Name input field of the SolarCollector:FlatPlate:Water
object.
In your case, it sounds like adding 35 shading surfaces each with an area of 2 m^2 above the roof is your best option. Each of those shading surfaces would then be assigned to a flat plate solar collector (35 total of those as well).