I just went over this with our network administrator. Yes you can use TZEdit to update the Time Zone information on your Windows 2000 Servers. When I tried it for myself, it appears the TZEdit has to be ran on each server individually instead of grouping them together. Once you open TZEdit, just select your Time Zone and click Edit on the Right side of the window and you can edit however you need to.
Alternately you can use the process stated in MS knowledge base at http://support.microsoft.com/kb/914387 if you have a vast number of servers that need to be updated (or if you are like us, have Windows 2000 workstations that need updating.), which it appears you have read since you have the files ready already.
I hope this helps,