OK, here is the challenge...(let us assume not a bright sunny day, but an overcast day, so that it is less strenous for the flash!) The Kodak guidelines for exposure stated that on cloudy overcast days = 1/ISO f/8, so ISO 100 = 1/100 f/8. To underexpose for 'black', you need -3EV underexposure (or less), so 1/800 /f8. But you cannot shoot flash at 1/800, unless you use HSS. The problem with HSS is that the output is reduced thereby reducing max distance of the flash as you go faster in shutter speed, with about -1EV of loss for each EV faster than the max X-sync shutter speed. So if you have a flash which permits 20' max distance at f/8, reducing by -2EV in output you now have an HSS flash at 1/800 which permis only 10' max distance at f/8.
Now imagine trying the same thing in a sunny day (1/ISO f/16) and you see that HSS flash is even more severely reduced in max distance at f/16...same flash would be good only to 5' max distance.