And then today I read about this. No specific dates have been mentioned, but "autumn" means it will probably coincide with our visit, even if I've no idea which one will be running at the time we're there. It would be silly not to go see, wouldn't it?!
Also, David Tennant will be appearing in Stratford as Richard II later in the year...some time back, long before she knew me, Sarah did a Thing where the RSC was presenting all of Shakespeare's history plays over the space of a week, and only a few days ago I was discussing that with her and saying I'd quite like to see them, albeit not necessarily over such a compressed space of time...so apart from the "David Tennant on stage" aspect, this could be a bit ideal - the article does indeed state that "Richard II marks the start of a run of Shakespeare's history plays, each of which will be directed by [Gregory] Doran."
(I'd also quite like to see Richard III at some point, but I have a sort of nagging doubt that it won't be as good as The Kingmaker...I know, I'm a philistine of the highest order, sue me...)