The plan that the Tsuu Tina rejected had lot of access to the Casino, and other developable parcels that would have been on reserve land, that would have had tonnes of traffic going by.
Now, with their rejection of that plan, the Plan B is going to be built without going over their land at all, and that's going to be tough. Any access to the reserve (around the casino) will be a real pain, as the access will have to be close to other interchanges, which means that full access is impossible without expensive extra ramps and bridges.
I think there will be an access of some kind built - but it will be at the reserve's expense, and it's not likely going to be off of the 37th Street Alignment, like it is now, IMO. I think it'll lave to either be where the 37th street / 66th Ave intersection is now, or off where Glenmore turns into Sarcee. The ring road will make Glenmore continue straight through, instead of turning north into Sarcee, so Sarcee could be continued across Glenmore into the reserve lands.
There's not going to be an access closer than that, the Glenmore/37th interchange is already going to be messy enough, that it will impossible to add an additional access anywhere close to there.
Map of the area.