See if someone has one of the devices to convert the bike to an exercise machine. Mount the bike, get on it and see if it makes the noise. If so have helper look and listen and with any luck they will be able to pinpoint the source of the problem. From what you are describing I am going to guess a clearance problem between the wheel and some part of the frame, fender, or supports.
Hope this helps.
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Pennsylvania, for 60+ years, most recently, Allentown, now TV.
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