Mmmm, love grilled cheese sandwiches. I have tried various wines with them because of the various types of cheeses that can be used. Generally, and because of the butter I put on the bread before the cheeses go on, I have liked California chardonnay the most, even if I put a tomato on there. I have had vermentino with them as well. Grillo from Sardinia has worked well. With your selection of cheeses, especially if there is gobs of butter in there grin I'd do a medium bodied Cal chard with some good acidity. You got me in the mood for one. Perhaps this weekend.

Cheers,
Jim
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"Worrying is using your imagination to create something you don't want. "
Abraham