If a ewe has mastitis then yes you would milk her out 2 - 3 times a day.
If you are wanting to dry her off, however, then milking her out, and milking her frequently, are the very last things you would do. Sorry wbf, but your regime would keep her in milk, possibly even increase production!
To dry her off, straw and water, just milk off enough to keep her comfortable. If the quarter is tight as a drum, milk a little off until it isn't. If it's not tight as a a drum, leave it and check it again later.