Hi seanywal, It sounds like the little f flies are a type of mosquito or midge thats having a go at your arms.
Apparently it's only the females that bite, you seem a lot like me in that you act like a magnet to females to attract them, with me they circle around my head and start biting as soon as I start to sweat.
They are probably breeding in a ditch or pond on the golf course, so I dont think they will be laying eggs under your skin, it's your blood they're after to nourish their egge and the anticoagulant they inject to thin your blood that causes the iritation. I think it's a good idea to carry a bite repellant around, 'jungal formula' I find is okay, you can also get a small pocket size sting reliefe spray such as 'bite eze' if they find the bit you did'nt put the other stuff on.
Slowing down is another option,so you dont sweat ;-)
Good Luck Tbird+