Spanish Grilled Ham and Cheese with Gazpacho

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1 pound tomatoes, roughly chopped

1/2 English cucumber, roughly chopped

1/2 large or 1 small red bell pepper, roughly chopped

1 clove garlic, smashed

3 tablespoons extra-virgin olive oil

1 tablespoon sherry vinegar

Kosher salt and freshly ground pepper

2 cups shredded Monterey jack cheese (about 8 ounces)

8 slices sourdough sandwich bread

3 ounces thinly sliced serrano ham

4 tablespoons unsalted butter