I wear a camo crushable similar to a fedora. Its wool and keeps the rain/snow/sun off you realy well. Its wool so its warm. I got it from www.noggintops.com but I cannot find the same hat now. There are some that look similar but mine has a light camo pattern on it.

Asfor the string at full draw. Its the only hat other than atobogan (SP?) that I can shoot my longbow with. It touches it but thebrimjust moves out of the way. Thecrushable hat isn't stiff so it doesn't effect the shoteven if it touches the string.