I am assuming that by "full Admin permissions" you mean that you do not want to give a user full admin permissions to the entire Service Desk instance, and instead are only okay with giving them admin rights to a single project.
From Admin > Issues > Permission Schemes, I recommend using the Add operation for adding "Project Lead" to the "Administer Projects" permission in your Project's permission scheme . They will then have admin rights only to edit the settings within that single project (if you've named your user as Project Lead for only that Project), which includes those Queues. They will be able to change which issue scheme, field scheme, etc that that project uses, however we've found that generally people are too busy to mess with things they don't understand.
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