Its not the smartest way to run your board without a fuse.
Well theres a reason why your PSU is shutting down (overheating or overload), maybe you can get a meter and check if theres a wattage-peak when your board is shutting down.
I dont know what kind of asic you running but maybe your PSU does not have the spefication to run your asic?
I know, but the funny thing is the the asic only requires ~200watt and 280watt if overclocked :/ My psu is 750watt so it should not be a problem. However, i have found a solution for this, I have bought a server psu and cables that i will convert to work with the asic.
Thanks,
JT