Remember this is a 9 year old car and to Subaru, that isn't going to be something they cover very often. Especially beyond powertrain 5/60 coverage window. By all means try it but don't be surprised when its denied.
A rebuilt engine is probably your best bet. I sell a rebuilt longblock for $3059 for that model. Shipping is an additional charge of around $400 for both core return and new engine shipment.