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Hi, I'm Mike G and I'll be assisting you. Depending on the wiring method used and or the age of the house wiring, there may not be a ground visable or even there. On a metal box, just attach the ground from the fan to the box.
Having circuit connection on multiple wires is normal. Attach the ground to the box.
From your description I would use the single white wire as a hot from the switch to the black and blue fan wires. The white fan wire connects with the group of white wires. You should have a metal box in the ceiling where the connections are and for support of the fan. By rights it should be a fan support box by code. If there isn't a ground visable, metal boxes are grounded. Attach the ground to the box.