Independent Solo Traveler for Three Gorge Cruise.

I am 66 year old female and will arrive in Beijing on 8 September and depart Beijing on14 September . I plan to visit Pingyao, Xian and' Chengdu before starting 3 Gorge Cruise. Can you suggest the best dates for me to try to book a cruise as I am aware that it will be National Day and Golden Week 1-8 October. I can be quite flexible.

I hope that you are able to help me and appreciate any suggestions.
Thank You
Elizabeth Ahrens