Once an offer is accepted, a typical Saskatoon file needs a 7 to 14 day condition period for financing and inspection, then your lawyer files the transfer through Information Services Corporation ahead of possession, so the realistic timeline from a strong offer to keys handed over is usually a matter of weeks, not months.
Being out of the province before closing is manageable. Your lawyer can arrange signing by remote execution or power of attorney for the closing documents, so you do not need to be physically in Saskatoon on possession day.
The move already made the decision for you. Pricing right makes the timeline work with it instead of against it. Get your hand-reviewed valuation from Joel Dyck.