20uA on a 3A5 is nearly 0 current. You could also reduce the plate current in the Quickie to 20uA to increase battery life, but the circuit's performance would go to hell.
I've used the 3A5 on several occasions, I usually use 2.5V bias, 10mA and ~125V on the plate.
As you can see, with no plate current and no plate voltage, the circuit's output impedance has become so high that it's not able to really act as a preamp. I would go as far as to say that this qualifies as a class B preamp.
With one end of the filament grounded and the other end being supplied by a current source, one end of the filament is at zero bias, which will further degrade the performance. (Especially depending on what's feeding the grid of the 3A5) You actually have a preamp that requires a source with low impedance to drive it (100 Ohms), yet the gain stage itself has incredibly high output impedance.
I don't mean to sound overly negative, just trying to highlight all the trades you have made to get rid of one capacitor.