Unless something completely unexpectedly occurs, the Cincinnati Bengals have most likely lost punter Kevin Huber for the season after he suffered a fractured jaw during Antonio Brown's 67-yard punt return for a touchdown in the first quarter. Mike Nugent handled duties for the rest of the game, averaging 40 yards on two punts (neither were returned).
The Bengals could bring rookie Quinn Sharp back, who averaged over 46 yards per punt during his final three seasons in college. Sharp didn't attempt any preseason punts while with the team in August, but he's a multi-purpose player that the Bengals are familiar with as a former undrafted free agent. Don't discard the experience between team and player -- the Bengals prefer people that they're familiar with.
Other free agent punters include:
Chris Kluwe - Spent eight seasons with the Minnesota Vikings with a career 44.4 yard/punt average.
Zoltan Mesko - Spent three seasons with the Patriots and seven games with the Steelers earlier this year. Ha a 42.5 yard/punt average in his career.
Nick Harris - A 12-year veteran that began his career with the Cincinnati Bengals, prior to the Kyle Larson era. Harris has spent time with the Detroit Lions and Jacksonville Jaguars as well, averaging 42.4 yards per punt.
You can see the entire list here.