Is it possible at all?
I mean, obviously DHCP + static alias is not working. I am looking for a workaround, like adding an interface and binding the static IP to that.
Is it doable somehow?
No, this is not possible.
You can easily add additional IPs to Windows boxes (Go to IPv4 Properties > Advanced, then click Add on IP addresses), however, this option is disabled automatically when DHCP is enabled.
This is possible. Install an instance of the Microsoft Loopback network adapter, and use it as an alias interface. technet howto
Then configure it just like you would a regular NIC.