Scott,
I notice that the original Pearson 10m is shown with a tiller, so I guess she will work with that.
The Split Junk Rig, with its big balance sail will probably balance very well when close-hauled, and from what I hear, these sails seem to add less weather helm on a reach and run than my low-balanced, wide sails I tend to do.
I notice that several JR schooners have had a weather helm problem, but that is another story. Remember also that David’s Arcadian is probably three times the displacement of the Pearson 10m, so there is less room for error there before steering forces become intolerable.
To save you from fighting on too many fronts, I suggest:
If the wheel steering needs to be re-built, drop it and fit the tiller instead. If the wheel-steering is basically good, keep it for now - the project is big enough as it is.
When the boat is in the water and is sailing under the new rig, then you can re-assess the steering.
Arne
PS: It appears that a tiller will occupy much of the cockpit, when in use. If you plan to sail her with a windvane, I suggest you consider letting the vane drive a trimtab-controlled auxiliary rudder on the stern. The main rudder could then be locked to act as a big yaw-damping skeg, and its tiller could be swung up, out of the way.