Basic dimension drawing:
There are a multitude of details to discuss before building something on this case:
Find the action which will suit your use and measure the magazine area. This cartridge case is long right from the get-go so using higher BC bullets or solids will make this into a single shot real quick. There's nothing wrong with a single shot because you have the horsepower behind some excellent bullets.
Once you find the action, be sure to get a source for a high quality stock. Remember this is a bigger action which needs more space for the bigger inlet. Reinforcement is a good idea because of the recoil when the case is paired with a heavy for caliber bullet. Carbon fiber can be helpful in many ways.
High quality glass is always a good idea but be sure to get a high quality scope mount or rail and rings to keep it on the rifle.
Everyone has an opinion of barrel makers so pick one of the top 3 or 4 and you should be good. Be sure to consider your case and bullet combination. Discuss this with your gunsmith to determine the freebore required to accommodate the length and it might call for a custom reamer. Make dummy cartridges to send to the reamer maker.
The discussion of brakes is usually contentious with the division pretty close to 1/2 and 1/2, for and against. I use brakes on most of the heavy hitters for obvious reasons. Some though will perform better using a suppressor. Barring the cost and wait time for a can, there are excellent brakes on the market these days but muffs and plugs are a great idea!
There is a ton more but book length post are not useful.
One thing to consider is another cartridge, the 33 XC by David Tubb. No belt if that matters and it has just about the same capacity as the Weatherby. Brass and dies on Tubb website.
Enjoy!