Next out would be Feb today. But I wrote Jan's. I will be looking at the Feb's during expiration week of the Jan's. At times when the stock is moving against the option you get attractive premiums in the current month.
The premium decay is highest at the end so I like that.
I also tend to write both sides - puts and calls. Puts are naked and the calls covered.
To deal with a strong rise, I would likely start to close calls in a staged fashion.