I had the same issue with a ceramic body tubular axial cap used in the 120 v input side of the x-former. I bought some ceramic discs from RS and connected them in parallel (remember: capacitors add in parallel, resistors in series) I dont recall the values anymore, but it worked. It's not pretty, but it can aid you in determining if that solved the issue.
I agree with the hot transformer comments. Replace those electrolytics ASAP!!
Walt
