Armadillos PLUS THORN-RESISTANT INNER TUBES is your slam-dunk cure. I have riden straight over a bah-zillion goatheads with this combo and never flat unless you get hit high on the side-wall.

This way you'll spend no time fixing flats and more time EATING GOATHEADS which are reputed to be good for hair-growth and virility. Notice how appetizing they look in your excellent photos!