So why do you think you need the bleeder resistor? You said up there that this is to discharge the capacitor if the power goes out. Well, who cares if the capacitor is charged? so long as you don't put your fingers across it ...
I've had my little power-line (120V) powered LED up now for a week. It's just a 0.56µF cap, a 1.2KΩ resistor and a red LED in series. No rectifier, no bleeder, no nothing. Works fine. (I actually built it partly just to tweak some people here who said I shouldn't do it this way.) It's been plugged in next to my fridge, plenty of inductive-motor-starting transients, etc. We'll see how long it lasts.