It doesn't have to be much. Get a cheap roll of gun & bow tape. Even if you only camo the barrel, it'll help.

Many of the firearms mfgrs offer turkey guns in camo or matte black. Is the camo pattern worth an extra $20? Up to you.

If you go with the tape, remember to remove if after the season is over. Some of the cloth tapes will hold moisture and/or sweat which can lead to surface rust.