I'm not sure what your budget will stand, but I'm pretty sure that you can get Robert Mackie to make one like you want. It won't be cheap, but it'll be a fair price.

I have one like you have from glengarry Hats, and I have the same complaint. While I did not want one as large in circumference as what you are seeking, the one I got was just very small in circumference. Like you said, it's almost like a modern beret with gorsgrain.