I am running my 555 BE with 80 mm stock hsf. I like it.  Psu fan is  noisier and I cannot even hear cpu fan. I suggest you try oem hsf first. 
555 BE, unlocked to B55,  17x multiplier
AMD 785G mobo
onboard video
OCZ 700W psu
no gaming
I don't know what PII X4 hsf looks like. My old Athlon 64 X2 oem hsf had a copper insert. 555 is all aluminum. I plan to move Athlon 64 hsf to 555 BE just because I have it.