If I were to get another 600, it would be the 600rr, hands down. But I am rounding 21 years old and have 6 years of riding under me. So, the poor ergo's and demanding power band of the CBR are two characteristics I don't mind (I prefer, actually).
When I started riding, though, I didn't tell myself, "I'm responsible, I'll be OK on the CBR." I told myself "I'm responsible, so I am going to start out on a 250 for the street."
I completely empathize with your lust toward the CBR; if I had income to support a second bike, that would be it. But I'd rather crash a CBR600F4 than a CBR600rr. Plus, while the F4 (or F3, or Yamaha YZF600R, etc.) is a very sporty bike (for 1-2 hr. weekend rides), it will more easily accommodate longer rides (i.e. the occasional commute to work) than the 600rr.
Don't be like Kellen Winslow and go out and buy the hottest 600 available, because you can't handle being on a "lesser" bike.
I think most riders on this forum would tell you they all have very fond memories of their first POS bike. The crappier the bike, generally, the fonder the memories.
Good luck with your search, and welcome to the wonderful world of motorcycling.