In terms of non-stop flights I think this is an AS route. There may be an AA codeshare on those flights but I am afraid it wouldn't be bookable under that AA codeshare with avios - reward flights are rarely (ever?) bookable under codeshares and usually only under the prime flight number.
Having said that AS flight themselves are bookable with avios but you do have to call to do it. They don't show on the reward search pages on ba.com . Some more information on booking AS with avios here
https://www.flyertalk.com/forum/brit...nes-avios.html
EDIT: sorry
rpjs, must have started my post just before you made your post above