Sorry I haven't responded back in a few days. Been busy with summer school.
I can't thank you enough for the offer Craig and I would like to take you up on it. I am going to reconnect the Eico today and see how long it takes for the hum to show up. Last night I took the bottom of the unit off to check the wiring and everything looked pretty good, but then again I am not quite sure what I am looking for. The orange caps had .25 MF written on them. At least thats what I think they said. I am at school right now and can't check but will update this post as soon as I get home.
As far as the hum is concerned I don't think it is getting louder when I turn up the volume knob. It just starts as a low hum and progresses to a certain level where it maintains that level until I nudge/shift the amp and then it stops. It's really quite strange. If the hum starts to occur a simple nudge or bump of the unit causes it to go away temporarily. Then awhile later it shows up again and I repeat the process.
I unfortunately do not have a tube tester yet so I have no idea as to the status of these tubes except for the fact that they all seem to light up quite nicely. The tubes are: 2 - 12AU7(RCA's I believe), 4-12AX7 (2 GE & 2 Baldwin GE??), 2 - 6CA4 (Sylvania with AGS above the name), and 4 - 6BQ5/EL-84 (Brand new JJ Tesla with less than 10 hours on them according to the gentleman I purchased the unit from).
Anyhow on another note, the guy gave me an Eico FM tuner as well that I finally got to work after figuring out the connection. Its model number is HFT-90, same as the one I saw on Mobile Homeless' website. Surprising how good it sounds for a mono tuner. If you don't have any objections Craig I wouldn't mind sending you that unit as well to see what you can do with it, if anything, to make it better.
I want to thank you again for the offer. I am really quite surprised to see such friendly people on a BB. It is nice to know that there are still people willing to help others out there. I will update this again later this afternoon when I get the Eico up and running to try and describe this hum in more detail.