Execute a Batch File bypassing the UAC

Have you looked into psexec?  I have not checked this, but I see no reason it would not work if the "remote" system is the same machine.

https://docs.microsoft.com/en-us/sysinternals/downloads/psexec

No need for elevation/UAC bypass.
All you need to do is set service permissions, so that the elevated Administrators token isn't required.
Delegate the permissions to control the service to a domain local group (or local group on the server hosting the service), and add the user(s) running the application to this group.
Note: do not delegate to individual user accounts!

You can delegate the permissions using a GPO, for example (no relevant changes since 2003 ...):
How To Configure Group Policies to Set Security for System Services in Windows Server 2003
https://support.microsoft.com/en-us/help/324802/how-to-configure-group-policies-to-set-security-for-system-services-in

If it's just one server, you can do that locally using subinacl.exe as well:
SubInACL (SubInACL.exe)
https://www.microsoft.com/en-us/download/details.aspx?id=23510
Note that subinacl.exe is a stand-alone program, you don't really need to install it. You can open the msi using 7-zip, for example, and extract the exe.
This should work for you:

subinacl.exe /service "YourService" /grant=YOURDOMAIN\YourGroup=QSTOP

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Help:

subinacl.exe /help /full
...
Service:
  F : Full Control
  R : Generic Read
  W : Generic Write
  X : Generic eXecute
  L : Read controL
  Q : Query Service Configuration
  S : Query Service Status
  E : Enumerate Dependent Services
  C : Service Change Configuration
  T : Start Service
  O : Stop Service
  P : Pause/Continue Service
  I : Interrogate Service
  U : Service User-Defined Control Commands
...

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Thanks for the response!