In a large skillet over medium-high heat, cook the thick-cut bacon until evenly crispy, about 8–10 minutes. Transfer it to a paper towel-lined plate to drain, then chop into bite-sized pieces.
While the bacon cooks, bring a large pot of salted water to a boil. Cook the penne pasta until just al dente, around 8 minutes. Drain, then toss lightly with olive oil to prevent sticking.
In the same skillet used for bacon, melt butter over low heat. Add minced garlic and pepper, stirring for 30 seconds until fragrant. Increase heat to medium and cook chicken slices until fully done, about 5–6 minutes.
Lower the heat again and pour in heavy cream. Stir in Parmesan-Romano and Colby Jack cheeses until melted and smooth. This is the base of your silky sauce.
Whisk beaten eggs in a bowl, then slowly drizzle into the sauce while stirring constantly to avoid scrambling. Add cooked pasta, tossing gently until well coated.
Fold the crispy bacon back into the pasta and stir to combine. Serve warm for the best flavor and texture.