It all comes down to time and money. Good stockers are going to have work lined up for the Fall so it will be next year before you get the gun completed. All the right people to do the job will charge basically the same. Never trust the stories of a cheap, fast and expert stocker someone has hidden away. All crap as far as I can tell. Talent gets paid and there is enough work needed to keep the best stockers busy and prices high.

The question you did not ask, that most people ask first, is how much will it cost. Simple answer is a lot but not as much as many think for what you need and are getting. I would have a fitting with the stocker, with a try gun if possible or have him alter your new gun's stock to make either a pattern for duplication or a working stock for trial. You might even be able to get that done fairly quickly and shoot the gun this Fall to confirm it meets your needs. then send it to the stocker and have him make your new stock to match your custom altered original.

If you intend to make this your default, go to gun, for the next ten year then do the project. When you consider spreading the investment over a decade it makes sense to do it. If you are going to trade the gun off next year understand that you are going to loose most, if not all, of the cost of the new stock.