To get the output of "show tech" login to the 8600 and issue the command - it'll be really long so you'll want to make sure it all gets captured from start to finish.
You can do the same thing with the "show config" command to get the current running config.
If you have a PCMCIA card in the current master CPU (the one with the blinking master light) you'll find the current syslog file on it. Its easiest to issue a "pcmcia-stop" command and then move the pcmcia card to your laptop. (Actually the pcmcia-stop command might not exist in older software versions, but its worth trying.) The file is named something 51a00005.000 in newer versions of the 8600 software, I forget what it was in older versions but you'll figure out which file it is.
If you don't have a PCMCIA card I think some of the last syslog entries are stored in memory and dumped at the end of the show tech command, but they probably want as much history as they can get.
I usually use the Nortel Service Request web interface to attach such things to my case notes, if you are not already set up with a Nortel web login it might just be easier to email them to the tech that has your case.