Solved
Thanks Lagbolt, but that didn't quite work. I managed to figure it out though. My setup for creating my connection string seems to result in the User ID being a part of the string already, so all I have to do is concatenate the password. Capturing the password is another challenge I'm working on. Here's the code that worked:
With cnnFrontend
.Provider = CurrentProject.Connection.Provider
.ConnectionString = CurrentProject.Connection & ";Password=" & strPassword
.Open
End With