Know of any cheap airlines? (around 900$-1200$CAD)?

I am going to Ukraine this summer from Canada and i was trying to find a cheap airflights and as early as possible of july, but in early july all companies i checked are like around 1500$. I found a flight with AeroSvit a ukrainian airline on july 19th till september 10th and its like 1170$, but I was wondering if there could be something around that price but on an earlier date. IF any1 knows a cheap airline let me know. Please dont tell me those fake cheap airline websites that charge you like 3000 for a ticket.