I have repaired a lot of these and all were original. The only values I have ever seen were the original 6800uf and then later the 9000uf. I have tried both values and have not really heard a lot of difference. I usually use either 10,000uf nichicon gold tune most times and occasionally will put in the 10,000uf nichicon super throughs or even mundorfs at 10,000uf . Pat Font did a lot of work on this and leaned toward the Mundorfs If I remember correctly. I tend to pay attention to everything in restoring these and the hum could be present in say your power supply/relay area rather than just the main caps but I understand your current focus, i certainly agree it is probably related to a capacitor somewhere and first thing to check into.