Going north of Calgary, there used to be a flight club up in Olds/Didsbury that had a twin, but I no longer see it listed on their website. It might be worth a call in case they only rent it to experienced pilots and they’re just trying to avoid the newly minted from raising their insurance rates, which is something I’ve heard through the grapevine happens, although I’m not suggesting that’s what’s going on here - more than likely it’s gone . If memory serves, Sky Wings up in Red Deer also has a Seneca I for rental.
I agree with India_Four_Two that you’ll be somewhat limited in your choice of twin, and you’d likely have an easier time finding the Holy Grail than you would a SE Turbine for rent at any flight school around here.