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Actually thought up a simple loop, pick up Rochdale Canal in Ancoats (across Rd from Go Outdoors)
Run up Canal Path to Alan Turing Way (ATW)
Head right on ATW then into Phillips Park (before Etihad)
Cut thru park to reach old Arches with mtb skills track by them. Cross rd to velodrome, cut thru foyer if after 7.30am, else run around Velodrome outside.
Cross bridge out of other car park near Asda then u-turn & thrn left onto ashton canal path and follow this under ATW back to Picadilly.
If that works hope you enjoy!
What @kl said.
If you do hit the canal East from Picadilly would take you towards Velodrome with trails in Clayton Vale.
Else head to Old Trafford from Deansgate Locks.
Both runs would be out n back and avoid the drug/pickup spots.
There's nice running along Mersey Valley near Sale Waterpark but you'd do your 10k just getting out there and back.