The RTi10 is simply a RTi6 bookshelf with two 7" woofers. The RTi6 has better midbass than a RTi4. You don't get the RTi6 (6.5") drivers in the RTi12, only the RTi8.
When you purchase the RTi12, you get two "mini" (5.25") drivers instead of one large 6.5" in the RTi10 (same as in the RTi6). You also get an extra 7" woofer. In my opinion, two of these 7" woofers really don't produce very good bass unless you add a separate amp, or really push the speakers. Three would be extremely hard to reproduce punchy bass, as these units aren't the most efficient speakers made.
There is absolutely no "hole" in the sound with the RTi10's. The crossovers are set differently in the Rti10's compared to the other towers.
RTi12: 120Hz and 1.8kHz (may explain why these are so bright)
RTi10: 125Hz and 2.7kHz (6.5" driver handles more of the vocals)
RTi8: 2.2kHz (no 2nd crossover needed as these are 2 way)
I'm a nut for tweaking sound, and my Denon 3805's eq is set to bring out the best of the Polks. I've never had an issue with these speakers being bright. You just need to take advantage of speaker placement, room acoustics, and your receivers internal eq. If your speakers sound great out of the box without any of the above (which I highly doubt will), you are in luck. If not, don't fret. There's a reason sound recording rooms have the massive eq's they do. Because room acoustics aren't perfect. Recording engineers will do their best to level the sound, but it's up to us to balance it in our rooms.
I've also got the CSi5, FXi3, and RTi4's in a 7.0 setup. My room is large - 15x32x9' ceilings. Your receiver should do fine with any of the three towers mentioned. Just don't buy them for the bass unless you plan on adding a separate amp.
Here's some photos. The RTi4's that were sitting on the towers are now on top of the entertainment center used as presence speakers. The center channel is no longer facing up (tried bouncing sound off the ceiling).