Androgenetic alopecia. Which is best: Ketoconazole, Miconazole nitrate or Topical Dutasteride? Looking for topical solution

Of the ones you have listed, namely Ketoconazole 2% shampoo, Miconazole nitrate (Monistat), Dutasteride (Avodart capsule using topical), CopperPeptide, Caffein, Melatonin, Tretinoin, Azelaic Acid, Fluoride - the best evidence is for ketoconazole. There is less to no evidence for many of the one's you have listed. Ketocaonzole is a an anti fungal medication and effective for the treatment of dandruff and closely related seborrheic dermatitis. But research over the past many years has suggested that they help hair loss as well. I often recommend that individuals with genetic hair loss consider use of anti-inflammatory shampoos.
What is the evidence of ketoconazole studies for hair loss?
A nearly two year long study  examined the use of topical minoxidil to ketoconazole 2 % shampoo. Study participants received the 2 % shampoo or an unmedicated shampoo with or without minoxidil 2 %. Interestingly, hair density and follicle size improvements were similar with both ketoconazole and minoxidil regimens. The exact way that topical ketoconazole increases hair density and hair growth is unclear, but may be due to is anti-inflammatory effects against immune system cells (particularly T lymphocytes) and the yeast of the scalp which create inflammation (called Malassezia). Ketoconaozle also inhibits steroidogenesis and reduces DHT levels.
References for Interest
Inui.  J dermatol Sci 2007; 45: 66-8.
Pierar Franchimont Dermatology 1998; 196: 474-7

There is a liposomal form of finasteride that is topical and can be used fairly effectively without the sexual side effects that worry many men