Having a look at a possible running order and these are my first thoughts.
The Wainhouse Tavern and The Big 6 are indeed a fair way out of town and need a 15 minute bus ride to get there and then back again as there is nothing inbetween to entertain. The Cross Keys is a shorter bus ride but south of Halifax and again nothing really of interest on the walk or ride.
Outside of these we have 12 other venues mentioned within the city centre (and that's not counting the two spoons ) , easily walkable between them so I personally would be inclined to stick with these and have a relaxing day in the town centre.
But the Big 6 and the Cross Keys do look to be worth the effort, so open to alternative suggestions.