Clyde71,
Beartooth Bullets shows to have .360 bullets in the heavy weights. Here's a link. Might give them a call.
http://www.beartoothbullets.com/bulletselect/index.htm
Scroll down the side bar, click on 38/357 bullets, look at the heavier bullets and the diameter has a drop down menu and lists .360 as available.
Trapper