Just be careful you don't set yourself up for a major disappointment. True 350 lb bears are a lot rarer than many outfitters would have you believe. Many of the "300 lb" bears you seen in advertising pics would be hard put to break the 200 lb mark on a scale.
Also, just wanting to shoot one bear, and have it be 350 lbs is kinda like deciding you only want to shoot one whitetail in your life, but it has to score 170 typical. It's a pretty tall order to fill.