If you have a look at Dr Sam Bunting you can see she recommends the same stuff over and over again:
Cetaphil, Avene Extremely Gentle or LRP Physiological Gel for cleansers
Salicylic acid for spots and blackheads eg Effaclar Duo or Avene equivalent.
Retinols for anti-ageing, acne and getting rids of pigmented acne scars - in her cosmetic work she will give prescription products
Oil-free (she isn't into 'good oils') moisturiser for spotty skin eg Cetaphil again. I first bought Cerave as it's recommended by lots of US dermatologists for effectively the same reason.
She also hates fragrance, scrubs, inflated claims, oils, over cleansing and longwear makeup
She is obsessed with SPF and loves French pharmacy brands 
You can see a dermatologist for cosmetic reasons - not all of them do cosmetic work but there are large numbers of cosmetic derm clinics, just make sure you are seeing a proper consultant dermatologist when you go. Some derms are only going to be interested if you have a proper skin disease and would think clogged pores and a bit of dryness irrelevant (doctors are notorious for ignoring their own and family members illnesses because unless a limb is about to fall off, you aren't properly sick), some are much more into the cosmetic side.
For a random guess:
She would give you the Cetaphil cleanser
She might not think your skin is dry/clogged in the same way you do - are the clogged pores only on your nose? They are probably sebaceous filaments not clogged pores
She will prob recommend an acid toner - if you bought products from her this would be Obagi (this will prob clear up the flaking and the pores), if not it would LRP Effaclar
She would def recommend a prescription retinol and if you have pigment issues this would be Obagi again, over the counter it would be Redermic R
She would make you wear high factor SPF and reapply it all day 
Have you been on the Amazing Faces Quiche? - we are mainly into ingredients there rather than beauty industry fluff