Powering tube and 9v effect from same transformer

[teletroy]

So I built a single tube trem pedal for a friend and there's a lot of room left in the enclosure. (guess I should have not let him pick it out)  He'd like me to put his dyna comp in there as well.

Am I better off just installing a 9v adapter in the case and wiring it up to the incoming voltage or would it be feasible to rectify the heater voltage and then drop it down to 9V?  I'm not sure if that will effect the tube. 

  - I was thinking something like this, the 25s might be too small, but I can adjust the filtering later.

Your insight and thoughts are appreciated.

thanks

[Paul Perry (Frostwave)]

That rectifier part is wrong.
If one side of the heater supply was earthed, then you could make a half wave rectifier fed from the other side.