It is very good to take 2 baths/or showers a day. If you are going to do that just use a really mild soap. Remember your skin is an eliminatory organ amongst other things just like your colon and it needs to be cleansed. Those flakes you are talking about seem to be the epidermis of your skin sloughing off. It does that as a natural process of skin cell division, breakdown, regrowth and repair. Besides, you run the risk of a Body Odor if you don't bathe regularly. You may not smell it but others can.

I have read that children who bathe every other day are healthier than those who bathe everyday so I would assume that could apply to adults as well. If you live in a very dry climate, bathing daily might be too much so do it every other day and on the day you do not bathe just wash your face and underarms and privates if necessary.

Seborrhea can affect not only the scalp but the face and ears as well. Often this can be yeast related. How is your diet? Do you have any other fungal issues like in the feet or genital area? parasites could rob you of the nutrients that keep your skin supple and luminous but yeast could do that as well.

I think you are in the right direction with cleansing. You will just want to make sure you are eliminating really well. Have you done any bowel cleansing or parasite cleansing? Perhaps some skin brushing or sauna might also be helpful. It does sound like your body is using your skin as a path for detoxification. BTW, who told you that you were losing too much moisture from your skin?

Dry skin usually comes about when too many highly alkaline products destroy the natural acid mantle of the skin. Avoid harsh detergents, and if you use soap, use a very mild castille. Do not rub your skin dry, blot it until barely damp and apply a natural oil all over. I like almond oil, but almost any plant based oil will help. Some oils like almond, olive and sesame do not clog pores and you can use it on your face. If oil is too much for your face then spritz a light film of apple cider vinegar and distilled water. This help slough off dead skin and revives the acid mantle. Aloe vera might also help on your face. Just make sure you use a product that will not clog pores. One shower a day will probably suffice. Avoid extremes in temperature.

I know this may sound somewhat negative, but do not view cleanses and flushes as "cures" for your acne. Rather, see them as ways to restore health and balance to your body so it will heal itself. Systemic toxins will cause problems with the skin, but in the long run, your skin will improve because your body is healthy. It takes time and patience, but you will see positive results as you go toward better overall health.

Edit: When I read you lived in a cold area it reminded me to ask about the moisture in your environment. Try and keep a humidifier going all the time in your home, if you heat with wood keep a teakettle on the stove. If you have central heat even a simple vaporizer or mister in the rooms you occupy most will help keep the dry heat from sucking the moisture from your skin.

It usually takes the body a little time to adjust when you change your habits.
So if you went from 2 showers a day to one shower every other day, then it might take a while to get settled into a routine. Perhaps you should shower once a day for a week or two before moving to every other day, to help ease the adjustment.
I only shower once every 2 days, myself.

What kind of showering are we talking about here? Washing the hair, the works? A quick rinse-off?

You do moisturize the skin while you are actually IN the bath, the problem is that when you get out, then the skin can become drier than before (it all gets sucked out into the air). As soon as you get out of the shower, you need to "lock in" the moisture by putting on a moisturizer. You can use a simple oil like olive oil. Also, washing with just water instead of soap on your body can help (if you do need soap, then use a gentle and natural one).
This is all because there are really two kinds of moisture - water and oil. So the water is coming out of your skin. But if you didn't bathe then it would end up with a good bit of your natural body oils after several days, and this would reduce the water loss. The oil doesn't really wick off into the air! And an adequate amount of water and fat in the diet is important, to maintain these levels from within.

Do you dry skin brush? You can do this everyday, it helps exfoliate among other things.

Anyway, it sounds like you've gotten some good suggestions. How about brushing your face gently to exfoliate, rinsing it in water, spraying on the apple cider vinegar water, and then rubbing on just a bit of olive or sesame oil? That should last you throughout the day, and you can do that every day.

You'll figure it out!