^ Go back a few and re-read BravoV's response!
I copied your schem, zipped over to my breadboard and threw this together. I used, as you emphatically wanted, two 1K and two 3K3s, two 1nFs, and a couple of matched MPSA42s (a "lighter" version of 2N2222 compatibles). You didn't specify voltage, so I just used a 9V battery.
Worked like a champ. So, I came back to post my results, when I saw BravoV's post, and looked at what I copied. My schematic is exactly like his - I copied it wrong! You need to move those caps! They should bridge R1/2 and R3/4, not R1/3 and R2/4. In your circuit, the caps never get charged/discharged by the other side's transistor turning on/off. The caps are, essentially, just biasing the bases of their own transistor.
nop