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.