What exactly did you remove, the vmkernel vmknic port or the physical uplink vmnic from the vSwitch?
There was another card configured with vswitch0 but I don't what it's ip was and a cisco router was leasing out the ip addresses not 100% on how to possibly find that out.
Do you mean you had two vmkernel interfaces in the same subnet/VLAN for management there? If you just removed one of them and the other is still present, then you should be able to connect to it directly with the vSphere Client (provided the routes are still intact, which I'm not sure of, if not then you need to get on the same subnet at least). Scan the whole subnet/broadcast ping into it and check the arp cache on your router to find out it's IP.
If that doesn't work, you removed all (or the only) physical uplink and you don't have a remote out of band management interface like ILO/DRAC/KVM where you can fix things remotely through the DCUI/ESXi shell, then you're out of luck and have to get (someone) on premise somehow.