So you like a button-down collar?  What about Western Snap shirts?
That sounds a bit too funky.
There is a button-down collar known as SoftCollarstm.  It has a more relaxed look.
Can you wear a tie with that?
I think so although it may not be formal enough for you.  It is a collar that is more soft than rigid. 
I kind of like starching and ironing my collars.
So, stiff is OK. Interesting that men's shirt collars have a history of being about social class.
Maybe so. I think they make my complexion look nice.
Interesting. You may like Carhartt, they go with denim well. 
I like things that can be machine washed.