So the hawking radiation is so strong that it impedes matter falling into the hole?
And can you charge the hole with enough of a charge to use electromagnetism to move and contain it?
Yes the event horizon would be smaller than the width of a proton. Good luck getting anything into that with 300 TW of gamma rays coming out of it.
Do note that that's a bit speculative. We haven't actually observed hawking radiation. And Hawking radiation definitely isn't what slows feeding in astronomical black holes, but radiation from the gas heating up as it falls.