The problem with using the split primaries of ordinary transformers as autotransformers is the secondary sitting idle doesn't contribute to the VA rating. Therfore you can only run them up to their nominal VA rating as half the copper is sitting idle, unlike the doubled VA rating you get in the case of a 120V:120V transformer wired as a 2:1 autotransformer. As size is a real problem for you that may be a show-stopper.
Modding toroidial transformers is not exactly a good option. They are almost invariably varnish impregnated and you'll have to be really careful not to damage the primary insulation. Instead if you can identify the secondary with the highest VA load, and its close to equal or more than the total VA load of the other secondaries, you can probably drive it as a primary with about 10% more than its normal voltage. You'll need a transformer 240V:<Vsec*1.1>, 12VA to do that. You'll need to check the circuit carefully and see if its going to stand that unreg rail being 10% high or if you need to add a dropper resistor. (or string of antiparallel diodes). Taps on the same secondary will also be 10% high. Carefully disconnect and insulate the 120V primary as it will have 120VAC on it by transformer action!
These guys do some empty BS1363 plug wallwart cases:
https://www.jprelec.co.uk/store.asp/c=549/Plug-in-PSU-Enclosures-VentedIf space inside the equipment is too tight, it may be possible to put the autotransformer on the wallplug end of the lead!