I wouldn't hold too much hope on a Dell system to install some generic mtrbd. It *maybe* possible but Dell usually by its own insidious design has proven its best to start anew with generic parts(DIY) and leave Dell behind. Unless, someone points to a source to do this. But, you could repair using Dell parts your orginal if you really really really want to or buy yet another used XPS T600 from some vendor source. The choice is yours...
good luck
-----Willy
Have been advised that there is not help for my dying XPS but would like to know if there is a suitable replacement motherboard.

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