Part of it, I believe, depends on the person. I prefer a shorter crown because I simply cannot wear a tall crown. Any more than 4 1/2" bashed and I get the 'Abraham Lincoln Jones' look. I was told that the Raiders hat was 5 1/4" unbashed, 2 3/4" brim front to back and 2 1/2" side to side. Let me preface it this way...I think that if you are a 57, 58, 59 cm, and facial shape is similiar to the on screen image, these dimensions will work, but if the hat is quite a bit smaller or larger, shape of the face is different, then these dimensions and bash will have to be tweaked to the individual.
I was refering to the still image that Tundy posted above. If you use the size of the ribbon as a constant, at 1 1/2", that particular bashed LC hat that HF is wearing in the still cannot be more than 4"~ 4 1/4" bashed. Now the disclaimer...obviously, some cannot wear a short bashed crown. I cannot wear one that is bashed too short, so this is where the hatter and the tweaking comes into play. And thankfully, there are some skilled hatters in the forum today.
Also, if I (personally) am going for the LC look, and need a shorter crown, I might prefer a hat that already has a short unbashed crown in order to help achieve the look. If you start with a shorter unbashed crown and can wear that style, then it would be easier to arrive at a shorter (shorter than Raiders) bashed LC/CS look. It would be more difficult to get there, if my hat has a 5 1/2" unbashed crown. Of course, we are not buying hats for HF to wear, the customer buys for himself, so this is where the Oakster jumps into the ring!