Whisk warm water, yeast, and sugar together in a small bowl until combined. Let stand, until yeast is foamy, about 5 minutes
Add flour and salt to the bowl of a stand mixer fitted with a dough hook attachment. Mix on medium-low speed briefly to combine
Add yeast mixture and 3/4 cup butter to the flour mixture. Combine on medium speed until smooth and elastic dough forms, about 10 minutes
Cover the mixing bowl of dough with plastic wrap and let rest until doubled in size, about 1 hour
Preheat oven to 400°F and line a baking sheet with parchment paper
Combine sliced ham, cheese and jalapeno in a small bowl
Once dough has risen, divide dough into 8 balls. Roll each ball into a 16-inch rope. Press each rope out 4-inches wide.
Spread 3 tablespoons of ham mixture down the center of each rope. Roll rope back together and pinch edges to seal.
Cut rope into 3 equal sticks, and pinch edges of sticks to seal. Repeat with remaining dough
Space pretzels 1-inch apart on prepared baking sheet. Brush with remaining butter and top with pretzel salt
Bake until golden-brown and fully cooked, about 20-25 minutes