We try to have most of ours kid in March, but Shea just got bred this week so she will be kidding towards the end of April, so she will be around a month fresh for Memorial Day.
I would say that I wouldn't want to take a goat to a show that wasn't at least a month fresh for the sake of her and the babies.
I wouldn't want to take babies any younger than that to a show.
I don't know if I've ever mentioned this, but there are some folks that have been mentored to have a doe you think will be competitive freshen a week before a show so the udder still has edema (swelling).
The doe that was the Grand Champion in rings 1 and 3 in Rocky Mount had freshened a week before the show. Of course, you may have a point, she wasn't at the state fair because she was already dry.
You wouldn't skip a milking that early in lactation. You might observe how much she is milking and time so that she is at her best during the show, if it might be 12, 14 or 16 hours. Probably not any longer than that for any goat in the first few months of lactation. But, say for the memorial day show where you are going to show again on Sunday, you would milk that doe out completely at the end of the show on Saturday.
Of course, that is completely different than for the state fair where they are all 7 months into lactation.