36 watt w/ Bridge recto - Tranny recommendations?

[glp]

I have built a few 2xEL84 amps (including an 18 watt a few years ago).
I am using a circuit that utilizes a 3a bridge rectifier. Guys are asking for more power so it seemed natural to add 2 more 84's.

So here you all are doubling up the 18 watt. Very Cool!

I am getting the impression that Graydons trannies won't do the trick for a bridge rectified circuit??

I'd like to try and build one - I think the bridge recto keeps things nice and tight (punchy?) so I'd like to stay with it.

Any suggestions??