VM configuration for LTM on Hyper-V

In VMWare ESX big-ip VE, the first interface is management and the remaining interfaces are 1.1, 1.2, etc. Assuming that Hyper-V is the same, you should try the connection via the first virtual interface. BIG-IP treats the management interface completely differently than the other interfaces.

If you don't want to use a management interface for some reason, you can also connect via a self ip that has "allow all". Using tmsh from the console in Hyper-V:

Create a vlan on interface 1.1, untagged ( guess that would be your "Internal" )

Create an appropriate self-ip on that vlan, set allow-service to "all"

try to connect https to it (it can be from a different subnet because of auto-last-hop).