I picked up one of those Kyocera's on Kijiji for $20 the other day with the same symptoms as yours and just finished getting it going today. The electrolytics you mention were glued in at the factory with what was originally a yellow coloured substance that has a very bad reputation for causing trouble. Over time and in the presence of heat it breaks down chemically causing it to turn brown, become acidic and conduct electricity to a degree. It will corrode copper wire and PCB traces, sometimes completely through. This is what happened to my R461 and caused one of the 6800 uF caps not to charge. Between those two large caps there is a wire jumper which was partly buried in that glue, and it was corroded through. I found another jumper just under the cap closest to the transformer which was also partially corroded. I replaced both anyway. That glue needs to GO, as much as possible. I scraped it all out after removing the caps, even sanded the board lightly as in this case the board itself measured high resistance before doing so. You can sometimes measure resistance in the megohms there and in parts of the degraded brown glue.
Anyway, I would look for that if you are handy. If you've replaced the caps already that will save you the trouble of cleaning the glue from them. Hopefully the leads of nearby diodes and other components will be OK. I was lucky on this one that the glue never touched them. I've seen this issue with that yellow glue in a lot of things of various makes including tube TV's and VCR's, all with similar or worse results. Sometimes if contact cement was used it would do something similar, but not anywhere near as much as the yellow stuff.
