I am going to make a couple assumptions based on the airfare. You are looking at getting to Iqaluit (YFB) from Ottawa (YOW). There are only 2 airlines on this route First Air (7F) and Canadian North (5T), so airfares on this route are pretty inflated. If you sign up for their emails on their web sites they will alert you when they run a seat sale.
$1800 is a little high, $1500-1600 is the average price, and on sale this route is usually $1200-1300 return.
June 17 is not the best time as this is pretty close to the "peak summer travel period" as most kids will be getting out of school and alot of families leave town for summer vacations around this time.
In Canada one of the best deals for this route is to redeem aeroplan points as they consider this a short haul domestic flight. In theory this should also be bookable with any star alliance mileage.
These flights are run on 737-200 aircraft but sometimes F7 uses a 727.You can do online seat selection with 5T. Booth carriers offer meal service on these flights but neither has IFE.
If you have anymore questions about Nunavut feel free to PM me.