If you own the stock, perhaps you should consider putting on a credit spread rather than the CC. You take in some premium, the stock CAN still cover your short leg, and the long leg can still participate in any upward movement. Conversely, if the underlying declines you still have the premium from the spread.
Yes. Actually a neutral to bullish strategy. Right now technicals (although I don't believe in TA anymore), and sentiment are bullish. Fundamentals are neutral, or a bit bearish. Thus I'm quite neutral over the long run.