So I found this amazing post that has helped me a ton:
I am constantly referring to that post in order to get the correct commands for launching something (like ManStu) as a domain user.
So, I figured I would post the command here just in case that post goes away (as posts on the internet tend to do).
The command is:
runas /netonly /user:domain\username <program you want to run>
runas /netonly /user:domain\username "C:\Program Files (x86)\Microsoft SQL Server\120\Tools\Binn\ManagementStudio\Ssms.exe"