avariell - A caipirinha is a good idea & I have everything! I hadn't thought about gin for the rosemary but that is a good idea.
Middydd - Thanks for the link.
In case anyone else is struggling with the same problem

here are some recipes I found:
Lillet-Basil Cocktail
For an interesting twist, use sweet, fragrant cinnamon basil in this drink.
Makes 1
Ingredients
1 cup ice, plus more for serving
1/2 cup Lillet Blanc
1 ounce (2 tablespoons) gin
2 tablespoons fresh orange juice
1/4 cup loosely packed fresh basil leaves, plus sprigs for garnish
Splash of tonic water
1 cucumber spear, for garnish
1 cinnamon stick, for garnish
Directions
Put ice, Lillet, gin, orange juice, and basil in a cocktail shaker; shake well. Fill a glass with ice; strain mixture into glass. Add tonic water. Garnish with cucumber spear, cinnamon stick, and basil sprigs.
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Rosemary Martini
Makes 1
Ingredients
1 small sprig of rosemary, 2 or 3 inches long, for garnish
leaves from 1 large sprig rosemary (dozens of leaves)
leaves from 1 sprig parsley (4 or 5 leaves)
2 TB sugar
juice from a quarter of a lime
4 oz Dry Fly Washington Wheat Vodka
Directions
Put leaves, sugar, lime juice, and 1/2 oz vodka in mortar and pestle. Grind until sugar dissolves and rosemary looks well pulverized.
Pour mortar's contents into cocktail shaker filled with ice along with remaining vodka. Shake vigorously.
Strain into chilled martini glass and garnish with small rosemary sprig.
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Rosemary Vodka
3 sprigs of rosemary
Infusion jar with tight-sealing lid
1 (750 milliliter) bottle of premium vodka
Rinse the herbs and place them in a clean Mason jar or similar jar with a tight sealing lid. Pour the vodka over the rosemary and shake a few times. Seal the lid tight and store the jar in a cool, dark place for three to five days.
Test the flavor of the infusion every day, beginning the second day. Once the rosemary flavor is to taste, strain from the vodka using a fine strainer. Wash the jar and return the flavored vodka to it. Store as you do other vodka.
Old Beach Rosemary Cocktail
2 parts rosemary vodka
1/2 part peach puree
1/2 part lemon juice
1/4 part organic simple syrup (see note)
3/4 part blueberry juice (optional)
Sprig of rosemary
Combine all ingredients in a cocktail shaker with ice. Shake well.
Strain into an old-fashioned glass filled with ice. Garnish with a sprig of rosemary.
Note: Make simple syrup by cooking 2 parts water to 1 part sugar over low heat until clear; then boil for 1 minute. You can also buy a bottle at the liquor store.
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Ginger-Rosemary Lemon-Drop Cocktails
Yield: Makes 8 drinks
Ingredients
1 1/3 cups sugar
1 piece unpeeled ginger, about 1 1/4 in. by 1 1/4 in., sliced into 1/8-in.-thick coins
2 sprigs rosemary (5 in. each), plus 8 sprigs (1 1/2 in. each) for garnish
1 cup fresh lemon juice (at least 5 lemons)
1 lemon
1 1/2 cups citron vodka
Preparation
1. Make lemon concentrate: In a medium saucepan, bring 2/3 cup sugar, ginger, 5-in. rosemary sprigs, and 2 1/2 cups water to a boil. Reduce heat to a simmer and cook, stirring occasionally, about 10 minutes. Let steep at room temperature 20 minutes. Strain into a medium bowl, discarding rosemary and ginger, and stir in lemon juice.
2. Pour remaining 2/3 cup sugar onto a plate. Slice 2 thin slices from lemon and quarter the slices. Insert a 1 1/2-in. rosemary sprig through center of each quarter. With a wedge cut from remaining lemon, moisten the rims of 8 cocktail glasses. Twist rims gently in sugar to coat.
3. Fill a large pitcher half-full with ice cubes. Pour in vodka and lemon concentrate and stir vigorously. Strain into glasses, dividing evenly. Float a rosemary-skewered lemon quarter in each.
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Lemon Basil Martini
1 1/2 oz. citrus vodka
1 T. fresh lemon juice
6 lemon basil leaves
1-4 t. sugar (to taste)
1 slice lemon (garnish)
Place lemon basil leaves, lemon juice & sugar in a shaker & muddle. Add ice & pour in the vodka. Shake well then pour in a chilled martini glass. Garnish with lemon & a sugared rim.