Asked Wolverinesupply same questin not long ago. Other than single shot 10 Ga. shotgun, only Browning still making semi-auto 10Ga, 3-1/2 shotgun, and BPS pump.
Unless an used one is ok for you, I personally like a brand new one for some reasons, really not much choices left.
Here's the reply from Wolverine:
"Sadly you’re pretty much right there- the 10ga. is nearly extinct, and there are very few options on the market for them these days. Sadly with the advent of 3.5” 12 gauge shell, the 10 gauge doesn’t provide a lot more performance. Regretfully though there’s nothing on the market right now like what you requested with a silver receiver and wood stock.
The only new-manufacture 10 gauge shotguns we have access to are made by Browning, and are only available in pretty bare-bones configurations for waterfowling. The BPS pump action and Browning Gold semi auto are the only two made right now. The BPS is available in both camo and black synthetic, and the Gold is available only in camo. I understand that’s not really what you’re looking for, but sadly that’s all we can get for now."