Has BBCA run any of the previous BBC biopics (or 'Comedy is Misery', as they got nicknamed): The Curse of Steptoe (Phil Davis and Jason Isaacs as the two stars of Steptoe and Son), Fantabulosa (Michael Sheen as Kenneth Williams), Sooner You Than Me (David Walliams as Frankie Howerd), etc etc? Not that it would stop them taking the Who one if they didn't.
In answer to your question, no, they haven't. One-off films like that, if they show up here at all, show up as direct-to-DVD features.
I could see BBC America picking this up because there's a marketing hook for it.