Hi Pix
Just did a bit of research.
Try the 74HC73. No one lists a max and min output current but the absolute maximum ratings are given as +/- 25mA. (sink and source) which gives you a chance of a few mA to drive your transistor. You might even go lower than 3k3Ω to make sure of switch on.
If you have source trouble Jaycar stock these.
Cheers Bob