I would - but don't use SLS or ALS cleansers. They'll just make things worse. My favorite shampoo for getting rid of build-up is Kinky Curly Come Clean. I also like Giovanni Tea Tree Triple Treat.
3b, Coarse, Low Porosity, Desert Climate
Cleanse: Hair One with Argan Oil, Creme of Nature with Argan Oil , KC Come Clean
Rinse-out: KCKT, Ion Swimmers Conditioner
Leave-in: As I Am Leave-In, Hair One
Style/Hold: Ouidad Climate Control Gel, KCCC, 4 Naturals Spring Back Custard
Refresh: Ouidad Botanical Boost