Welcome to the fun!
Sure, wear any hat that is of or before WW I times, if you are fearful that folks will be picky. The rules only prohibit two types of hats - Shady Brady feathery hats,
and ball caps.
Several folks wear a cavalry stetson. I wear an Indian Campaign slouch hat. You don't have to wear a hat at all, though it does keep the sun and the brass out of your face.
In practice, if it looks good, wear it. No one has grounds for grousing about it.