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1
Cook bacon and chicken: Cook bacon in a large heavy skillet (preferably cast-iron) over moderate heat, stirring, until crisp.
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2
Transfer bacon with a slotted spoon to paper towels, then pour off all but about 1 1/2 tablespoons fat from skillet.
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3
Pat chicken dry and season with salt and pepper.
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4
Add to skillet with bacon fat and cook over moderately high heat, turning several times, until nicely crusted and just cooked through, 8 to 10 minutes.
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5
Transfer to a plate and cool.
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6
Tear chicken into bite-size pieces.
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7
Prepare corn and sauce while chicken is cooking: Gently simmer corn and milk in a heavy saucepan until corn is crisp-tender, about 5 minutes.
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8
Pour through a sieve into a bowl and reserve corn and milk separately.
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9
Melt butter in same saucepan over moderately low heat.
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10
Add flour and cook roux, stirring, 3 minutes.
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11
Gradually whisk in cream, then reserved warm milk, pepper, and salt.
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12
Bring to a boil, whisking, then simmer, whisking, 3 minutes.
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13
Stir in tomatoes, chicken, and corn.
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14
Keep warm, covered, over very low heat.
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15
Make polenta: Bring water with salt to a boil.
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16
Gradually whisk in polenta and cook over moderately high heat, whisking, 5 minutes.
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17
Stir in cheeses.
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18
Divide polenta among 6 shallow bowls.
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19
Stir basil into chicken mixture and spoon over polenta.
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20
Sprinkle with bacon.