That looks custom like many hoods.

Try worldcoppersmith.com

Typically that barrel style hood is for a 42" width or more. What width will yours be? That one in the OP is custom, which you can get from a company called Modern-Aire.

For non-custom, check out Bluestar hoods, the "Bonanza" model and the "Abbaka Atlas" model.

Ventahood makes a barrel style in a 36" size called the Excalibur hood (also larger sizes, but you didn't say what size you are getting). You can add the rivets as an option (upcharge). The hood won't be as tall as the one in your OP--the Excalibur is between 9"-12" tall depending on which model, but is your kitchen ceiling as tall as in the OP pic?

Bluestar (comes in colors and in stainless steel):

Ventahood Excalibur:

Thank you!! We’re building and I’m so lost on so many things. Our range is a Thor brand and I believe it’s only a 36 gas range.

You will need a 42" wide hood for a 36" gas range. You will also need the correctly-sized duct that will go from the hood to the outside. You cannot have a duct that is too small. It needs to be 8" or 10" diameter. Since you are building, you will be able to specify the exhaust duct size; don't let that get away from you because many builders will just install a 6" duct and move on, and you will be stuck with a duct that is too small.

You typically don’t want to be spending 2-5x as much money on a range hood as the range. You might want to move up to a much better quality range that matches the level of the desired hood. And then there’s the required make up air system that you’ll need to factor into the budget as well. And thst is just to have the cooking at tgat level. Add in 20K of refrigeration, 1K MW, 2K DW, etc and you’re easily at a 50K appliance budget with all the everything.

I had a custom hood made by Modern-aire in my previous house. They should have no problem making the hood in the photo. Made in the USA, Los Angeles area.

http://modernaire.com/