The Bridgewater Reciprocal agreement lets you travel to/from Liverpool if booked in to go down into Salthouse Dock.
Between Altrincham and Stockton Heath there's no shortage of mooring sites, but whether any of them have any vacancies is another question!
Here's a list of the mooring sites you may want to investigate.
Oldfield Quays, Oldfield Brow, Altrincham (Bridgewater Canal Co)
Ye Olde No 3 moorings, Little Bollington (Bridgewater Canal Co)
Lymm Marina moorings, in Agden, Lymm (Private)
Barn Owl pub moorings in Agden, Lymm (Private)
Bridgeworks at Lloyds Bridge, Outrington, Lymm (Private)
Massey Brook on the south side of Lymm (Bridgewater Canal Co)
Pickerings Bridge in Grappenhall (Bridgewater Canal Co)
S&A Marina, Cliff Lane, Grappenhall (Bridgewater Canal Co)
Stockton Lane, Grappenhall (Bridgewater Canal Co)
Stockton Quays by the London Bridge Pub, Stockton Heath (private)
Opposite Moore Post Office (private)
Hope that helps
Liam