Spread the seed before the first snow and just let it sit dormant all winter? It may not work down there as well as it does up here since you don't have the pack we get, but it makes for good soil contact when it all thaws out in the spring.
Limping our way to 1”. 0.96” so far. In a vacuum I’m satisfied, but to barely miss that convection Sunday night and then be on the outside edge yesterday hurts a bit. But a slow soaking 1” helps. Just keep the events coming.