Destiny of the Doctors was a series of 11 audio adventures by RIP for the 50th Anniversary in 2013 that nobody remembers because nobody gives a crap about them. Like the Companion Chronicles for Big Finish, they were performed by only only two people and were told in a talking book format with narration and shit, which is a bit of a bummer because narration kinda sucks. Like seriously, that's one of the things that sucks about NuWho, specifically episodes like Doomsday and The Power of Three where they get Billie or Karen in to recite a monologue in a microphone over footage of Matt Smith scratching his balls because the writers were too lazy to figure out a way of naturally writing the dialogue into the scene itself, but I digress.
Each one focuses on one of the Doctors and apparently it all ties together at the end. I wouldn't know this because I haven't heard any of them.
Eh they were alright stories on their own. The only "arc" was that the Eleventh Cocktor asked each incarnation for some shit that had been influential in the story, which is then poorly resolved in a finale more disappointing and convoluted than anything Steven Moffat has done (I'm serious. The defeat of the Big Bad goes something along the lines of "Doctor creates some mini paradoxes via the things so that some dude from the future that was born because 2 separate incarnations got his parents to do the dirty, travels back to 2013 and crushes the Big Bad." Yeah) Although I was probably high at the time I listened to this, so go and listen to it and sigh as the wasted potential fills your orifices