Sorry i misread your situation.
I use progskeet so im not sure how good e3 is but i have heard it doesn't read properly because it doesn't connect to the nor properly, solderless clips will always suck there just isnt enough 'chip' for it to clip onto if you get what i mean.
You should buy a progskeet and take the time to learn how to solder, NOR is really easy to solder and there is a diagram for every board on devwiki, sell the e3 bricker
Progskeet 1.1 - £33
and a little extra for the wires and solder
E3 Bricker - £60-70, causes more problems than its worth
You could try disconnecting the solderless clip, boot your ps3 without e3 being connected and see if you get black screen still.
If you still get it then you could have fked something up on the board but if it boots up properly then its that crappy clip.