I have flown within Manchester itself last year, but I don’t know whether ongoing construction has rendered this site impossible now. I’d think twice before flying there in daylight hours in any event.
If you take the train out to Marple, Brabyns Park and Marple Aqueduct are a reasonably short walk away.
There’s a spot within walking distance of the new Trafford Centre tramstop where I’ve flown, but requires advance permission from Barton aerodrome (may restrict flying times).