So I put the fuse in. Started right up. Put the shroud back on, fuse blows. Take the shroud off, change fuse, starts right up. Though maybe one of the bolts was grounding it out or something. Lay the shroud on while running, fuse blows. Figured out that where the carb is connecting to the wiring harness, the connection was being pushed up against the heat shield for the cylinder. Moved the wire, secured it, shroud on, started right up. Always something.
However, with engine running, multimeter is only reading 12.45 at the battery. Got a feeling the recharge problem is not fixed.