I concur with Paul, if you get the sling point right and with a little bit of "fiddling" you won't need a throat-hauling parrel - in fact I would go further.
On Serendipity I have recently added a fixed parrel for the yard and another for the boom, but the only running gear needed is just the halyard and the two paired spanned parrel-downhauls as used by Slieve.
It seemed a mess at first, but with a little tuning the sail now sets well with just the above running gear. For some reason, mine seems to set happily with the main luffs in line with the aft edge of the mast.
However, Its all very much related to the geometric profile of the sail itself - I copied Amiina's exactly, and it looks as though Paul has too. Yours looks similar, but I can't see if it is an exact geometric copy or not.
Your sail looks to have fairly small amount of camber. I am interested to know: what is the calculated amount of camber you have built into the jibs and main panels, and what is the sheeting angle of the jibs? Thanks.