QSuites is probably the best business class product out there, and it is offered on IAD-DOH. Long layover on the return, though.

If you want more options, you could position to NYC and choose from a very wide range of airlines (especially if you're willing to tweak your dates). Does earning miles matter to you at all?

Anyway, relax. You'll be perfectly comfortable in business. A few years ago I flew JFK-ICN-MNL roundtrip in Y ... it was long but survivable.