A few things...
What type of film stock will you be shooting with?
Also, I saw that the sun was not directly but mostly overhead in most of your test shots. I have not read the script, but is there a reason you do not want to shoot around magic hour? You mentioned that you want the film to be nicely lit, so the first thing you can do is get the nicest light... early in the morning or late in the afternoon.
The other thing about shooting in the middle of the day is that the light is so bright that you often have to stop down to 16 or 22 even with an ND filter in the camera. On a sixteen mil lens at that stop your depth of field will be huge, which may not be bad, but if you hope to achieve that "film look" often produced by longer 35mm lenses at lower stops, it becomes nearly impossible under such bright conditions where everything is in focus. It really depends on what is best for your story.
If you are shooting close-ups under harsh light, be sure to utilize any silks, nets, or bouncecards at your disposal.
Also, the old Bolex cameras are very prone to light leaks and sand leaks, so if you are shooting on the beach I would reccomend taping up the camera thouroghly before shooting.
good luck,
Corey