You had originally not said what material or method of construction you are considering for this project and of course that impacts availability of shops willing to take on your project. There are comparatively few yards that take on a wooden boat of this size and of the complexity of an Atkins Magpie.
But in a general sense you are describing a very unique project. The number of yards capable of doing a project is limited because:
.....Of the intended size of the boat requiring a shop that is capable of handling a pretty big project. Boats that size equire a yard with pretty a large building, reasonably sophisticated equipment and deep enough pockets to carry a job like that. There are fewer of these around than smaller shops.
......Of the rig, which requires a yard that is familiar with traditional rigs.
.....Of the risk in building a design like this with an extremely limited market appeal, which means that should something happen to you and the yard end up owning the boat, they would have a hard time liquidating their investment.
Further limiting the availability of suitable boat builders will be the level of fit and finish that you hope to achieve. Not that long ago there were a lot of yards which specialized in workboat quality construction that might be suitable for a project like yours. But with the scaling back of the fishing industry and the shift in workboat construction methods and design, it gets much harder to find yards like these.
Of course if your goal is a fine yacht, there are still a large number of good choices. The bigger yards that do this kind of think tend to be very expensive. The smaller yards tend to be less so, but many of the smaller custom boat building shops who could do a project like this for a reasonable price, tended to be under-capitalized and so have closed up due to the economy. There are still some around who would die to have a project like yours, but again, they tend to be small so the project will stretch out a lot longer. And you have to worry about the financial stability of a yard like that. In the construction industry, I watched as under capitalized contractors took on projects very cheaply (too cheaply) trying to save their businesses only to go belly up mid-project, and leave an owner with a half completed mess.
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Curmudgeon at Large- and rhinestone in the rough, sailing my Farr 11.6 on the Chesapeake Bay and part-time purveyor of marine supplies