You can build an order online and there will be a time estimate based on the components selected. You can delete the order prior to buying it. If the shafts aren’t an option online, you can go to a pro shop to place the order. They will get an estimated date and an order number.
If it doesn’t ship in 7-10 business days, if not estimated as a longer date on ordering, you can use the order number to get the current status. Add another 5 business days to transport it to NC from CA.
This forum is primarily end users and not a customer support avenue. We have no idea of the day to day inventory issues. When in stock, the 7-10 days from ordering to the loading dock is the standard for any iron set regardless of components. The Aerotech shafts would most likely be the rate limiting step for any component in short supply Are you feeling lucky??

While the shafts are probably not on the shelf in Carlsbad, it's a fairly common specialty shaft and would probably only add a week or two to the normal build and ship time. Given your east coast location, my guess would be 5-6 weeks from the time the order gets to Titleist to the time of delivery. I say from the time Titleist receives the order because sometimes a pro shop or certified retailer might be a bit delayed in getting the order placed. All orders can be different so my guess is just that, best guess based on what I know. Unique grips can also be out of stock at the supplier and create an issue. Best of luck, the T200 Steelfiber combo is a great set. Hope you enjoy them.

Here is my recent experience. I ordered a combo set of 5 iron in t200 with Aerotech Steelfiber i110 softstepped and 1.5* flat as well as 6-GW with the same specs as the 5 iron on a Monday afternoon. I had the clubs 15 days later so a two week fully custom order to receive. I did pay $25 for next day shipping.

Unlike TM products the specs came exactly to what was ordered.

Just got fitted for the T-200's, getting the 5-P +48 degree, could not for the life of me hit any Titleist 4 irons, tried T-150, T-200 and the T-350. Had to go with the 4 Hybrid.