I'd ask the IT head first, if he can arrange something. As it IS work related. Alternatively, you could ask the downsized folk for their passwords.
This looks like a job for http://www.lostpassword.com/outlook.htm and I'm sure you can get your company to pay for the $45 license. 
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I could get the company to buy it, but I was looking for a quick fix without going through all the paperwork etc. I also cannot ask the man who was laid off for access to the files because he deleted all of his contacts and other e-mail to spite the company for laying him off, and this was all the IT guy could salvage from the harddrive.
There's nowhere I can't reach.