I had about 76 health when I got to the Mine field. What worked for me was not worring about the MG's. I watch the path the two soldiers where running before they got shot. I alos watched which direction the lead soldier turned before he got shot. That is the path I took. I took some hits from the MG, but I still had 35 health when I got to the trench.
I might have been lucky, but once I figured out how to get up the beach, I had 95 health at the first medic, 60 at the Medic by the barbed wire fence, and 76 at the bunker before the mine field.