Lucky,
I live there. We had two hunters kill a griz tryin' to git their elk last year. Where you going? The upper green is much more populated by griz. The road to Union Pass is more vulnerable than the one to GR Lakes. But the Green runs all the way to Colorado, so you gotta be more specific. We get an occassional griz in the Wyoming Range and in the southern Winds, but it ain' t as likely as in the New Fork canyon and Upper Green areas.