Hi, Welcome to ASR!
You can use a calculator like this one to figure out how much power you need:
http://www.hometheaterengineering.com/splcalculator.html
Long story short, every doubling of distance requires double the power, every +3dB requires double the power too. Sounds like your room is reasonably big, if you're far from the speakers and you want to fully avoid clipping you might need a lot of juice.
200w should get you around 102-105dB in the middle of the room if the speakers are close to the back wall. That's what I (and my neighbors) would personally call "too damn loud" but if you're listening to classic rock primarily, sometimes there are good dynamic peaks, so it might not be too much.
110w gets you around 99dB at 12 feet from the F208s, which if you listen at 85dB average (loud-ish, at the limit of what OSHA considers safe for long-term listening, a normal reference level) might not be enough for peaks.
If you are sitting further away or you like your music really loud, you might want more than 200w.
One way to settle the matter is to take some measurements with a UMIK-1 (this thing gets recommended like 40 times a day on here) or an SPL meter, and see what your actual preferred SPL is.
From there you can back out how many watts you need to sustain that and get an appropriate amount of headroom. Anywhere from 10-15dB+ peaks are considered normal, above the steady listening volume you prefer.
You can get >200w of good clean power for less than $1000 perhaps from VTV or Buckeye via Hypex or Purifi modules.
But like
@Chrispy said, if you don't hear a problem, why go looking for a solution?