Request A Certificate From Enterprise CA Based On Template Using Powershell

I am trying to find out how I can enroll the local machine with our enterprise CA using powershell.
I know it's possible using certutil, but I am try to avoid having to use StdErr + streamreading to get error messages. I am hoping there is a way with COM Objects, WMI ...

I got as far as this:

$TemplateName = "RadiusCertificate"
$Request = New-Object -ComObject X509Enrollment.CX509CertificateRequestPkcs10
$Request.InitializeFromTemplateName(0x02,$TemplateName)
$Enroll = New-Object -ComObject X509Enrollment.CX509Enrollment
$Enroll.InitializeFromRequest($Request)
$Enroll.Enroll()

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The issue I have is figuring out how to tell the certificate request to determine the subject name based on the computer not the user account. Right now I get a certificate issued to the user running the script in the local machine certificate store.