WHM / Cpanel does not directly integrate with DirectI and or Jensley.com. You need a third party billing software to integrate them together. I have yet to hear any CMS that integrates anything like this. AWBS is a billing software. Not a CMS.
I would think you are actually looking for a billing software, not CMS.
If you omit Jensley.com merchant account, you will have many choices. Try third party merchant account such as 2checkout.com.
Many billing software such as Whoiscart, AWBS works with DirectI, WHM/Cpanel and 2Checkout.