Products with added Keratin are not the same thing as going to a salon (or, God forbid, buying a home kit off of amazon) and getting a Keratin or Brazillian straightening treatment. Suave does indeed have a nice , supper low priced line of products with added keratin, which is basically a protein. It's the quick version of what you are doing with all of that egg.
Now, too much keratin can also make your hair feel too thick,and too straw like. So you won't want to use the small bottle of leave in keratin treatment every time you wash.
I use Morrocan Argan Oil by Organix every single time I wash mine. I put about a nickle sized amount in my hand, rubs hands together,then rub it on my hair from the ends up, letting the least of it go on my scalp. I have been bleaching for over 20 years, and my hair was FRIED. With regular hair cuts (Good cust, at a good salon) , getting my hair thinned out each time, and using this argan oil, I have reached the point now that I can flat iron every day and get nice smooth hair that looks glossy. (although it;s NOT the hair shown in my profile pic, I'm actually not even blonde anymore!)
If you must comb it when wet, get a wide, wide toothed comb with really blunt ends, and go very slowly and gently. This actually makes the application of the argan oil easier.
If you need to blow dry, try to wait until the hair has at least air dried to 50 %, then use a hair dryer that is able to shoot blasts of cool air every minute or so. This helps to smooth the cuticle and make the hair lie flatter and smoother.
again ,about your water. If you have sulfer(sulpher) in your water, MOVE. Get OUT! We take trips to a river cabin in the summer, and the water there is full of sulfer,called "hard" water. It makes the toilets stain reddish brown, clothes washed dull,skin feel dry, and worst of all, hair will blow up like a tumbleweed. If you are used to your water, you won't smell it, but we go in the cabin and can smell the rotten egg smell right off. If this is you, I'd really wash the hair with jugs of bought water.
You can probably take a vial of your water in to your school's chemistry class and get them to test it for you. At least you'd know if it was that making your hair frizzy.