Hey thedoor,
Please be careful with that razor blade front wing inches from your gut. I know the racers do this and even Balz showed it in his Bonaire video, but it still just spooks me because it puts the sharp trailing edge up wave of the body. What if your feet are planted and the kit gets ripped backwards or what happens when a wave breaks on your head and sends and you tumbling with that wing near you? I just don't see a clean way to ditch the gear when things go pear shaped and the wave is pushing that trailing edge into you.
Since you are open to risking the cervical discs by head carrying why not take the same basic approach but flip the board over like in the pic below (sorry it's so low rez). This works well for small light gear like yours. It keeps the ALL the kit clear of the water and it keeps the sharp parts above and away from you. You can punch through a fair amount this way. As the waves get taller you can straighten your arms lifting the kit higher. You can also keep the kit pointed out but turn your body so that your torso is slightly sideways to the wave for less drag. It's basically the same technique as what you are doing except when you know you can't make it over a wave you have the option of chucking the kit over and then you go under. When things go bad the kit just gets ripped away and washed in without any chance of hitting you. This approach works for the ride back in too, so long as the wind is not straight onshore. As much as I like approach this approach I rarely do it anymore because it started to aggravate my neck.
Now I start with the nose of the board facing the beach, I grab the bottom handle and the boom head picking the gear up. So, I am FACING the ocean and my gear is tail towards the ocean as I carry it out as far as I can, usually about waist deep. I'll try and get a picture of this soon. Then I let go of the boom and tow the kit behind me by the bottom handle. I carry as far as I can so there is not that far to go dragging the sail. I do the same thing when coming in, grab the bottom handle and let the rig flow where it wants. The sail drag helps on the ride in. This approach is the safest for the humans, staying up wave of the kit all the time. If it's closing out on my head or if anything spooks me, I let go of the handle ditching the whole kit and I go under and out the back of the wave while the kit gets washed away from me. I am by no means an expert, but these approaches have kept me safe for a few years now. The gear, well the gear gets trashed in the surf as it always does.
Since you don't have a handle but have a narrow tail perhaps you can carry the board upside down on your windward hip until waist deep then tow by the foil mast.
Can you ask Wyatt Miller or Tyson Poor what they recommend? Was that Jay Glazier off in the distance at the beginning of your video? If so, go ask him or whoever it was.
I'm stoked for you that you got to visit there, it's on my bucket list! Stay safe and have fun!

Sandman, your method is good in that it keeps you up wave of the kit, but it breaks one of the basic rules of the surf zone. Never turn your back to braking waves. If you or as you venture out into bigger surf, you run the risk of getting worked by a big wave you don't see coming. It will throw you forcefully forwards and face plant you onto your gear.
Aero, that is the best windsurf wave foiling video I have seen in a while! That venue looks golden! I would drive across the state to ride that in a heartbeat! Can you give more details without pissing off your locals? Is that an inlet or pass?
That sailor is really skilled. That photographer/videographer is incredible, his online portfolio is so good! Thanks for sharing this!