Scrubbing the face although may be effective for whiteheads and more superficial whiteheads, may not be advisable for deeper blackheads or those more difficult to extract. Also, the areas under the eyes are thinner and loser and may be more fragile or sensitive.
To extract or remove blackheads, there is a need to open the pores. However in doing so you also increase the chance of infecting the pore and thus ,aggravating the situation. Using creams and lotions, pore strips and other fast OTC methods may only further irritate the skin.
You may ask your dermatologist about this. This may be done slowly at one step at a time, giving the blackheads time to become a bit more superficial, making it easily removed or extracted.
Here is a url which may provide some more information and practical tips about blackheads: http://www.acnetalks.com/pimple/Acne-Treatment/Herbal-Natural/Homemade-Blackhead-Removers.htm