Adjust oven rack 4” from broiler element and heat broiler. If you do not have a broiler on the RV, who does.....use your toaster oven for this step.
Spread flour in shallow dish.
Beat egg in second shallow dish.
Combine bread crumbs and parmesan in a third shallow dish.
Pat chicken dry with paper towels and season with salt and pepper.
Working with 1 breast at a time, dredge breasts in flour, dip in egg, then coat with bread-crumb mixture, pressing gently to adhere.
Line large plate with a triple layer of paper towels.
Heat oil in 10”nonstick skillet over medium-high heat until shimmering. Lay chicken in skillet and cook until golden brown on both sides and chicken registers 160 F, 4 to 6 minutes per side.
Drain chicken briefly on the paper towel-lined plate, then transfer to rimmed baking sheet.
Combine mozzarella and fontina in bowl.
Sprinkle cheese mixture evenly over chicken, covering as much surface area as possible.
Broil until cheese is melted and beginning to brown, 2-4 minutes.
Transfer chicken to serving platter, top each breast with 2 Tbsp. tomato sauce, and sprinkle with basil.
Meanwhile, bring 4 qts water to boil in large pot.
Add pasta and 1 Tbsp salt and cook, stirring often, until al dente.
Reserve 1/2 cup cooking water, then drain pasta and return it to pot. Add remain sauce to pasta and toss to combine. Season with salt and pepper to taste and add reserved cooking water as needed to adjust consistency.
Serve chicken with pasta.