I think you go two ways. You can either try and match the richness of the dish with something rich and opulent like a top drawer (ie expensive) California Chardonnay, or you can try and compare and contrast, in which case a New Zealand Sauvignon Blanc would be my choice.
I think I’d try a couple - a California Chard and a sparkling wine.
Looks like you’ll need a couple of cups of wine for the recipe anyway. For a good bargain chard, I like Cambria Katherine’s from Santa Maria Valley. For something a little more lush but should be readily available, Ferrari-Carano makes a few vineyard designate chardonnays that are delicious. I like the Fiorella vineyard chard and I think it would go wonderfully with your dish.
And since it is NYE, a sparkling wine is fitting. From France Moet & Chandon’s White Star, or from CA Scharffenberger Brut. Both of those are easy to find, rich yet clean, and decently priced.