A better place to ask might be the ping site and forum. Also what does vmware site say about images created with ping? Maybe it simply can't be done. Because, as you say, the vmware player might not be able to supply the necessary Dell-compatible hardware mapping. Remember a drive system image can only ever be expected to restore on the hardware it came from. Or identical. Otherwise it will blue screen like crazy.
As far as I know, vmplayer will detect much recent hardware that the VM is running on, and when it cannot, it will ask you to choose from a small range of bog-standard hardware that it can emulate. But it is doing that when you install an OS inside the VM. So you are effectively installing an XP, or Win7 or Ubuntu on your host hardware, excepting possibly a few things like a network card.
You might install one XP in a VM, take a Ping image and then run that in a VM on other PC's of the same hardware description. If that is what you want to do.....