What you are describing sounds memory related, as in a bad stick. Try running memtest86 from the multiboot menu on the system to rule out memory.
Second to that would be overclocked settings in the bios which are not friendly to any PE environment. Reset the BIOS settings to factory default and test again.
Without exact hardware details, there is not much more anyone will be able to add. I would certainly check the fans and make sure the inside is getting enough airflow to keep the operating temp within specs.
Just an FYI: UBCD is a DOS based boot disk. This is UBCD4WIN and is a completely different projecct, so lets not add to the confusion by using the wrong name.
