The way to deal with a skeeter is to kill it.
Don't run, save your stamina, they always circle you about a 3\4 circle... just wait with your shield on block for them to strike, then kill them before they can fly off.
Once you get decent armor and food you can laugh at them.
I did land on a plains shore the other day and was hit by a 4 skeeter horde that killed me. That was a good for a lol.