You'll need a pretty good transformer to run a Williamson design. The circuit uses a good deal of feedback, but with a decent OT, it is not a problem, but with a hammond, it might be....
I think the S-265-Q won't have any problems in this situation.
read about it here:
http://gregory.webng.com/W4/The_Williamson_Amplifier.pdf
hopefully my hosting bandwidth won't runneth over...please download it only once and save it
My recent experience with Hammond PP OPTs has been pretty decent although I admit that I haven't used one to replace a 309/458.
As you know, the original Williamson circuit wasn't without it's own stability issues. Thus Williamson's mods in the second article to add the "speedup" cap across the FB resistor and the addition of the phase comp network at output of the input voltage amp. Heath went beyond this by addition of their "tweeter-saver" network across the 16 ohm tap so even at this stage of the design's development, they were still concerned about the stability issue in spite of decent Peerless OPTs. Overall, with the additional stability considerations in the W5, lesser OPTs should be able to be successfully fitted...However...As I continue to consider the OP's current situation, I'm thinking that his best options will be either the original Heath part# as a replacement, an exact rewind or an electrically exact copy. Any other OPT will most likely require some adjustment of the feedback and phase comp components for optimum operation. This requires equipment and knowlege.
FWIW, based on the lit of the era, Williamson would not have considered the W5 as a true Williamson design because the output stage was UL. He apparently considered this circuit to be an unacceptable deviation from his original vision.

, need a little motivation.