Sorry to be pedantic, but let's double check specifics - let me know if any statement is false:

Your PC network adapter is set to:
IP: 10.10.10.10
Subnet Mask: 255.255.255.0

You can see packets being sent and received on that adapter.

The AXBB-E is powered up via external +24v

You're using a cross over Ethernet cable

You have pinged the AXBB-E on the address 10.10.10.11 and you have got a response.

You can see it using the UCCNC connection utility.

Now, what version of UCCNC are you running?

Also, I appreciate it has entries in the firewall but you need to try disabling it completely. The firewall entries can be misleading because they still depend on what type of network windows thinks it is on (that Public / Work / Home network thing). Always worth a try.