Hantra,
To help determine what is causing the ground loop disconnect all the sources from the pre and see if that helps. Even sources that are powered off can cause ground problems.
Obviously if it still hums there is a ground potential difference between the pre and the amp.
There is a very good article on finding and fixing ground loops on the Jensen Transformers site -
http://www.jensentransformers.com/apps_wp.html - file number AN004 and their troubleshooting guide. Of course they sell isolation transformers and suggest those as the best cure but their application notes are very good and explain the causes and how to find the culprits.
I have to disagree with Nathan in that triode preamps don't all hum. The 12au7/12ax7/12at7 tubes are all dual triodes and used in many preamps. Some have more hum and noise than others but most of them are very quiet. However, his mention of the heater being inline with the audio may indicate a directly heated triode. I don't own anything with DHT's, but reportedly they are much more prone to hum.
No question that a tube pre can produce some foul noises during warmup. I built a timed muting circuit into mine so they don't reach my amps and potentially nuke my woofers.

Mike