Regarding what kborg called Botvinnik's approach of combining KID and Pirc, this will usually not lead to similar positions beyond the first couple of moves, though. And the theory on both is quite taxing, so it doesn't make sense to combine these two openings if you want to get by with sporadic opening studies.
A while ago I read Jovanka Houska's book about the Center Counter out of sheer curiosity. Very nice book and enticing opening. If I weren't into the Pirc already, I would probably give it a try.
I have to respectfully disagree. If I'm a lower-rated player then the assumption is that my opponent also doesn't know the opening very well. Against such an opponent, theoretical preparation may not be that useful: they'll tend to deviate rather early from the book lines anyway.
As a lower-rated player I got by for many years playing KID, Pirc/Modern and the King's Indian Attack as White. I didn't memorize any variations and I didn't spend a lot of time studying the opening. After each game I would usually look up the variation in the book to see if I could have improved my play. I gradually learned the kinds of formations to use against the major lines by my opponent: for example I knew the formation to use for Black against the Saemisch KID and I knew how to set up my pieces against the Pirc Austrian Attack. This approach was so successful that I continued to use it for a long time even though the Pirc/KID is not really my style of play.
Regarding what kborg called Botvinnik's approach of combining KID and Pirc, this will usually not lead to similar positions beyond the first couple of moves, though. And the theory on both is quite taxing, so it doesn't make sense to combine these two openings if you want to get by with sporadic opening studies.
A while ago I read Jovanka Houska's book about the Center Counter out of sheer curiosity. Very nice book and enticing opening. If I weren't into the Pirc already, I would probably give it a try.