It wasn’t (if it existed) an official project in any sense. As far as I know, the only source for this is Arcady Volsky’s words.
There are several versions of this story, despite the storyteller is the same.
So, the story. Volsky worked as Andropov’s adviser, and Andropov asked him to create a new USSR map. The idea was to eliminate national republics completely. Volsky created 15 different maps, but Andropov didn’t like any of them. So, Volsky asked his friend Evgeniy Velikhov to help, and they made three more maps together. One of this maps consisted of 41 state.
In earlier interviews Volsky said that Velikhov worked with him from the start, and the main idea was not to eliminate national entities, but to eliminate smaller entities, to divide USSR into 15-16 bigger states but not on national basis (in this case, Russia could be split in smaller units because it was too big, but some other republic could be joined together because they were too small, for example).
Andropov was already very sick, so we don’t know what he thought about these last three maps. This project has never been discussed outside of this small group and has never been approved. And then Andropov died.
Velikhov never commented on this, but, maybe, no one asked him.
So, I don’t want to say there was no such idea in Andropov’s mind, but it looks more like mental gymnastics than something real.
Anyway, even if Andropov was really serious about it, it’d be very hard to implement.
And no, we don’t have any maps.