Because this storm is next month, don't bank on it. The GFS is notorious for showing long range storms that never come to fruition. Additionally, any forecast beyond 7 days should not be trusted. This is throwing out the idea that something could happen. It has been shown that, while this solution may not work out like shown, the model may be onto the general idea of a storm system in this timeframe.
Snowfall accumulations, if this did happen, would be pretty substantial, to say the least. A strong storm system combined with an open Gulf of Mexico makes for very ample conditions for dynamic weather events like thundersnow or tornadoes in severe weather. I cannot predict tornadoes or thundersnow, but that's just an idea of how a strong system and warm Gulf air can pair up.