Kitchen ventilation problem, expert needed

I recently tried to install a range hood in my kitchen because the fan is broken and there is no air circulation. It appears that the pipe to the roof has been covered over by roofers, preventing me from installing any type of ventilation device. I am looking for recommemmdations for a roofer in inexpensive engineer to come over and give and expert opinion about how to fix the matter. I have gotten quotes in the $1000 range which is more than I want to spend to give a recommendation to the co-op board. It appears that at least 3 other units in the house have the same problem. Has anyone else had this issue with no ventilation? Is this a larger housing violation that the co-op needs to fix? Thanks.

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