can't help you with the shampoo, but...
how is your water quality? if it's very hard that may be drying out your skin. the pool chlorine will do that too. so can a house that is too dry and over-heated. you may also be dehydrated or under-consuming fats. a soap that leaves an oily film on my skin just sounds gross, and like something that would a) rub off when i got dressed and b) stain my clothing. i'd really focus on getting hydrated from the inside.
i don't wash with soap unless a washcloth can't scrub off the dirt. then i use dr. bonners castile soap.
i'd be a vegetarian if bacon grew on trees.