Just wanted to say thanks to all who responded, I got about 80% of the hum out. I can live with this for now and enjoy some music

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Here are the couple of other things I tried out.
I went ahead and bought a cheap ground loop isolator, I figured it would be nice to have for trouble shooting purposes. Installing this did not make a difference which to me meant I wasn't dealing with a ground loop.
I decided to twist the tranny leads next. You have to take caution here not to just twist all of the wires together which could cause more problems. Here is what I did. On the primary I twisted blue and brown, black and white. On the secondary I twisted red and red, yellow and yellow, green and green. I think I did this right. This did not fix anything so probably is unnecessary.
I had some foil tape and decided to use a makeshift shield where the heat sinks go that I didn't use. What-ta you know, this knocked the hum down considerably to an acceptable level. The hum is now only audible above playback levels. Looks like I will be buying some heat sinks or maybe making a custom shield in there place. Lessoned leaned, DO NOT leave the heat sinks out if you decide to build the cornet.
I installed the tuntable and piccolo back up, hum is still the same and everthing sounded great. I have to assume the piccolo is pretty quite the way I built it. I am hoping installing the shields and replacing to better RCA's will knock the hum out, I'll keep y'all updated. Now I just have to put some hours on the Cornet, might buy one of those iRAA filters.