Hi,
350W PSU ? it's an ATX, take care ! these aren't so good as they should be !!!
Most of ATX psu don't give 5V, but a lower value under 4.86v that makes hang your system... (PC can support now 4.68v because the 5v is not very need today (but it's transformed in 3.3v or 1.5v !).
Take a voltmeter, and tell me what you read for +5V / +12V !
I had a similar problem due to this kind of PSU !
Take time to use the GREX 2.2 firmware, which work well with Bvision (i know that, i tested it, it's OK !).
Amiga are very stable with 4.96v for 5v... more than with big cooling systems (take care also to check the solder on the 68k, some like mines were bad !! )