Except for the Bicknell's, we've had a number of thrushes pass through our yard in the past few weeks with plenty of sightings of three species. Though the photos are not of superior quality, I don't see any buffy eyering as would be seen on the Swainson's. I agree that the Veery has much redder overtones but also there is spotting shown along the flanks that Veery does not have. I would then lean towards Gray-cheeked as Bicknell's is not really separable except by voice.
Given the uncertainties created by photo quality, I agree with Tom's call. BTW, two Swainson's are here this morning still, working on the last of the Virginia Creeper fruits.
Steve