Here's the workaround that I use.
Step 1: Add a column to calculate current user
- Create a Single line of text column called CurrentUser
- In InfoPath, edit the properties of the column and change the default value to userName()
- Check the box for Refresh value when formula is recalculated
Step 2: Remove the Admin view from the drop down
- In InfoPath on the Page Design tab, click Properties under View:
- In the View settings section, deselect Show on the View menu when filling out this form
Step 3: Switch to admin view for admins
On the Data tab, select Form Load in the Rules section of the ribbon
Create a new rule (Action)
Condition:
Choose The expression from the drop down
Type the following expression in the text field, replace "username" with the username of your admin, 1 condition for each user (here's 2):
contains(dfs:dataFields/my:SharePointListItem_RW/my:CurrentUser, "username") or (dfs:dataFields/my:SharePointListItem_RW/my:CurrentUser, "username")
Keep adding "or..." for however many Admins you have.
- Run these actions Switch views (select the admin view)
There may be a way for you to incorporate the people picker into this, but the solution above is a good workaround for me.