I'd go for it. The last Tom I killed was with an old SxS 16 ga. (not camo'ed), an Improved Cyliner choke, and a measly 1 1/8 oz. of #4's. They weren't even "turkey load" #4's...just high brass field loads. I wonder how many people here would've told me my gun and load wouldn't work?
Before you or anyone else condemns your gun, buy a few shells and pattern it at 30 yds. or so. And don't go straight to the biggest, longest shell with the heaviest shot load you can buy.
Open chokes typically pattern large shot better, so I'd try #4's first. Buy the 2 3/4", 1 1/2 oz. lead "turkey" loads first, and if you're not happy with them, try the "Hevi-Shot" type shells.
Another thing, I can almost guarantee you the lighter 2 3/4" shells will pattern better than 3" or 3 1/2" shells. That is why I suggest trying the shorter shells first.
Don't worry about camo on your shotgun. Any hunter with any sense won't be waving his shotgun around for a tom to see. Keep it in your lap or laying next to you on the ground and sit still. By the time you pick it up to shoot and Mr. Tom sees it, it'll be too late for him!
Turkey hunting is like all other hunting....it's been marketed to death. Manufacturers want you to believe that you MUST have the latest camo pattern, the newest, biggest, most distastefully camo'ed shotgun firing the heaviest shells known to man, through a choke no larger than the groove diameter of a 22 LR. Heck I've even seen SCOPES specifically for turkey hunting!!!
Here's pics of a couple of guys I guided. You might notice the lack of camo on the shotguns....then notice that they DID both get birds!
Learn to call and call them in close, and you can kill them with a .410!!
Good luck!
35W