Guys nothing prevents the captain from filing his own flight plan with concurrence from dispatch. Not saying I would do it but nothing would require an ASAP. The dispatcher files flight plans without you right? You just would have to go over it together. That brings up the point mentioned before that there is nothing stopping dispatch from filing over the phone just like you could so why do it. Just saying it wouldn't require an ASAP assuming you and the dispatcher went over the release together.
This is of course my own opinion based on the reference people gave of FOM 7.1. I'm certainly open to being proved wrong with another reference.