What is the best treatment for dry and sensitive skin with clogged pores and blackheads?

Thanks for your question.

Dry and sensitive skin often makes treatment more challenging.

Clogged pores and blackheads (comedones) fall under the category of acne, and can be treated with

1. Extractions
2. Retin A creams
3. Salicylic based products and peels

The side effect is skin irritation which may worsen your dry and sensitive skin.

If you have tried the above with no improvement, you may consider seeing a dermatologist.

Hope this helps!