Air Canada has round-trip flights from Houston (IAH) to Seoul (ICN) for $765-$785 with a connection. Flights April and November.
Note: Air China has flights for about $682, but you’ll want to avoid those unless you want a long layover and bad routing via Beijing.
Note: This doesn’t seem to price correctly on Air Canada’s website. To get it to price, either use the links below, or use Google Flights to pick dates, and then select Priceline via Google Flights.