What is considered the most effective acne solution that wont dry up very sensitive skin?

Try this: Topical clindamycin or systemic tetracycline plus as much benzoyl peroxide as you can tolerate. If you've got "very sensitive skin", you're going to find acne treatment even more unpleasant than most people do. It needs to be done, because in our times, acne is a sign of poor self-care and a professional liability. Brace yourself and accept my assurance that all acne can be managed.