I didn't find the exact figures you mentioned, but did see that a 12-14 volt accessory transformer is needed to power the relays. I would guess you mean 500mA minimum... which is nothing for any o gauge transformer. I think a ZW-C (and the 135/180 watt power bricks for it) is seriously overkill for this, especially since it seems you can't have this transformer connected to your track. The instruction manual specifically states that the transformer should be isolated from any track power. (not connected to the rails)
For testing purposes I think the ZW-C will work out fine as a power source, (I do not believe that the chopped wave, PWM voltage will make any difference here, but am open to the idea that I'm wrong on this.) but a better solution in the long term would be if you have a 1033 or similar post war transformer laying around, or really ANY tiny starter set AC transformer. If you don't have an old train transformer laying around, and can't find one for a reasonable price, you can buy wall wart type 12VAC adaptor for reasonable prices($8-12 on amazon) that will do the job. Another option that is overkill for powering relay coils is a landscape lighting transformer. Probably not cost effective to buy one for this, but if you've got one laying around, it would be perfect.
JGL