Yeah, if you're flexible with the color, I suspect that will make a difference. Definitely happened with our watches, both 42mm Sport, hers was silver/white, mine was SG/black, she got hers ~4 weeks before mine (in fact, the first day of shipments).
I'm curious about the month-to-month through Verizon, for existing customers. If I go through the motions on Apple.com, I see the subsidized or full price, nothing about monthly carrier. So I'm assuming that has to be done through Verizon.com, but I'm just not sure if it's available at all through an online order[?]