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1
Make the Tomato Horseradish Butter: mince the soaked tomatoes; place them in a food processor; add in the garlic and butter.
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2
Process about 2 minutes, until light and creamy; add in the horseradish, lime juice, and pepper; process until blended.
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3
Place a 12-inch square piece of plastic wrap or parchment paper on your work surface.
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4
Put the flavored butter at the bottom edge and roll the butter into a log, twisting the ends to make a :tootsie-roll like tight cylinder.
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5
Refrigerate or freeze until firm, about 2 hours; to serve, unwrap the butter and cut off 4 slices, each 1/2 inch thick.
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6
**This makes about twice the amount you will need for the Bloody Mary Steaks; the remainder can be refrigerated for up to 5 days or frozen 3 months.
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7
Make the steaks: put the steaks in a nonreactive baking dish; pour the olive oil over them.
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8
Turn the steaks a couple of times to coat with oil.
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9
Add the tomato juice, vodka, lime juice, Worcestershire sauce, horseradish, Tabasco sauce, celery salt, and pepper in a nonreactive bowl; whisk to combine.
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10
Taste for seasoning, adding more Worcestershire sauce as necessary.
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11
Pour this Bloody Mary marinade over the steaks; let them marinate in the refrigerator, covered, for 1-2 hours, turning the steaks a couple of times.
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12
Set up grill for direct grilling and preheat to high.
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13
When ready to cook, drain the marinade from the steaks and discard marinade.
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14
Brush and oil the grill grate; place steaks on hot grate, on a diagonal to the bars.
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15
Grill until cooked to taste, 4-6 minutes per side for medium-rare.
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16
Rotate each steak a quarter turn after 2 minutes on each side to create attractive grill marks.
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17
Using tongs, turn the steaks on their sides to brown the edges.
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18
Transfer steaks to a platter; let rest for about 3 minutes.
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19
Cut Tomato Horseradish Butter into rounds and place on top of each steak.