Hi Rehoboth Farm and welcome to the forum!
My does are quite engorged pre-kidding and at kidding. I milk them almost all the way out right after they kid and then several times throughout the first day as I can (I have hungry goat babies that are a distraction). I usually get 7-9 pounds of colostrum from the older does but that is with some still left in. As with milking later on, the more often you empty the udder, the more the doe produces so if you are concerned with not getting enough colostrum then milk her frequently the first day to stimulate production of that day 1 colostrum. That's what I would do.