In this scenario, the best course of action would be:
Only Shonda should apply because she will get better terms.
Since Shonda has a good credit history and very little debt, it is likely that she will qualify for a loan with better terms. Miguel's previous medical issues and subsequent late payments may negatively impact his credit score, making it less favorable for loan applications. Therefore, applying with Shonda as the sole applicant would likely yield better results for the loan application.