November is prime time for the canyon and most permits for the most popular areas are probably gone.
You don't say much about your backcountry experience so it is hard to make a recommendation. The are 4 types of routes in the canyon.
1-Corridor. Some backcountry experience, zero off trail experience. Includes Bright Angel, South Kaibab, North Kaibab
2-Off corridor. This is my label for unmaintained trails that receive lots of traffice. Includes Hermit, Grandview (to Horseshoe Mesa), some sections of the Tonto Trail, and Clear Creek Trail
3-Unmaintained. These are seriously challenging trails, several rockslides to navigate, etc. Include South Bass, New Hance, Tanner, Thunder River, North Bass, Bill Hall, the Tonto Trail west of the South Bass
4-Routes. Remote, trail-ish, may include technical climbs. Includes Royal Arch Loop, Escalante, Nankoweap.
With more detail on your backcountry experience and fitness level, can recommend options from among these.
Guide-wise: Annerino's Sierra Club guide book, the Harvey Bouchart books.