TI.com data sheet for NE555: output rise and fall time is typically 100nS but could be as slow as 300nS.
If you think things are slow now add the capacitance of a MOSFET Gate.
2N3906: Under conditions different than you are using but..... switching time (not delay time) is best at 50mA of collector current.
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This is some thing I typically do. Inverts! Pull down is active not 1k or 220 ohms. Will pull down hard. It also pulls up hard.
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