from my (29-year old female) perspective, i'd like to encourage you to embrace your baldness; i think toupees are sort of silly and a show of a lack of confidence and honestly, i think most women, including myself, would agree they'd prefer a bald man with confidence than an insecure man with (fake) hair.
also, it's not like suddenly having hair tomorrow is going to make your peers believe your hair loss shampoo is working and as PiP noted, it will eventually have to come off. i would compare a toupee-wearing man to a woman that stuffs her bra. perhaps, her other attributes were so charming you'd have liked her just the same if you'd expected a pair of Bs, but you're expecting a set of DDs - imagine the disappointment, awkwardness, shock and feeling of being duped when her cutlets come tumbling out. it's not that her cup size mattered but what it says of her character that she felt she needed to fool you because she wasn't able to A) accept her self-perceived shortcomings and B) see that she had other, more lasting qualities that more than made up for her chest, or lack thereof.
it seems to me that you were able to manage okay for 9 years - 9 young, critical years. yes, perhaps it was a bit difficult, but as you've reached your thirties, men with full, thick hair are becoming fewer and farther between. i suggest keeping your head shaved, because that whole convertible look so that it appears you have a full head of hair when you have a hat on is only slightly less silly than a toupee, and focus on having a healthier view of yourself. if you don’t now, i'd recommend working out and eating well - change the things you can control without trying to con anyone into believing you’re someone you’re not.