Here is Medina sail plan showing the geometric centre as designed, in case someone would like to help Andrew with a proposed junk sail with forward raking mast.

If it were mine and if I were to chose SJR I think it would look like this

This shows a SJR sail of approximately the same area as the original rig, with the geometric centre (CoE) aligned with the original centre. The centre line of the mast is shown.
This sail area could be scaled up or down a little, depending on the hight of Andrew's new mast. (Note Andrew, the mast height must be at least as high as the top of the yard, and slightly more would be better. Also, the distance of the boom down to the deck, at the mast, needs to be at least 50% of the width of a panel (or slightly more would be better) in order for the spanned running parrel downhauls to function in the way Slieve specifies. The balance shown here is 33%. Mast rake on this rig is not recommended.
Note, as this is a smallish vessel, the helm balance can be fine tuned by crew shifting weight from the rear of the cockpit to the front, so there is a tiny amount of wriggle room as to where the mast is placed.
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If Andrew decides to have a relatively high balanced contiguous sail, with some forward rake as suggested by David, there is possibly of even more wriggle room in mast placement, because the amount of forward rake can be varied a little at the design stage, and once that angle has been chosen and mast rake fixed, there is also the ability to move the sail forward or aft a little, to vary the balance a little if further adjustment is needed.
(Neither of these adjustments (mast rake, and fore/aft slinging of the sail) are possible with SJR.)
So there is something to think about.
Hopefully someone else will chime in with a proposed contigous sail plan to suit this boat.