To keep the mast in or near to its original position, using a single junk sail, you will need a sail with a "mast-balance" greater than is normally found on a junk rig.
I can’t quite read the numbers on the sail plan, but it looks as though the mast-balance of your current rig is about 35%. If that is so, then you might just about be able to get away with keeping the mast where it is, if you were to use the junk rig with the highest mast balance possible: the “split junk rig”. Because your current bermudan rig is fractional, and with a non-overlapping jib, it is possible that its current mast position will be the same as, or near to, the right mast position for a split junk rig.
To be on the safe side, I would make the sail with 33% balance, though 35% is thought to be possible.
If you feel the need for jibs, then this is the sail I would consider.

This is Slieve McGalliard's proven Amiina Mkll "split junk rig" sail design, 33% balance.
At 35% balance I think you could use the original mast position. I believe a 35% balance has been done, and it works for model boats, but it is right on the limit of what is safe for a lug sail. [Edit: I would consider 35% to be experimental and as already stated, I feel more comfortable with 33%]
At 33% mast balance, on the above rough drawing, it looks better to me if the mast centreline goes just a few inches ahead of where the original mast was placed, as shown, if that is possible. However, given that you can adjust your weight distribution, and also adjust the centreboard, it is probably near enough to plonk the above sail plan mast right where the old mast was, I think you would be OK to do that. (I would rather do that, and carry perhaps a little bit of weather helm, than have an over-balanced rig. With my little boat, with its Amiina Mkll rig, I can easily manage helm balance by shifting my weight and adjusting the centreboard, as conditions vary).
I think you would get away with it.
[I should also add, the above drawing is "eyeball" only. On second looks, the 33% rig may well put the mast right where the old one was. Do an accurate scale drawing, and some calculations.]
Anything else in the way of a junk rig, I think, will need the mast to be moved forward.
If you want to know how a little trimaran can go with a split junk rig, take a look at these two video clips here and here
You won't need a spinnaker with a rig like this, but I would keep the working sail area of your current rig. With junk rig you can easily and almost instantly reef down the sail area when necessary.