You do not need to create a new switch. You can add the NAT rule (the one OP stated) to the Default Switch in Hyper-V instead.
However, you cannot use Add-NetNatStaticMapping as it cannot access the Default Switch.

Instead, use (and switch to Administrator as necessary)
C:/> netsh interface portproxy add v4tov4 listenport=22 listenaddress=192.168.1.0 connectport=22 connectaddress=172.29.65.11 protocol=TCP

Check,
C:/> netsh interface /?
C:/> netsh interface portproxy /?
C:/> netsh interface portproxy show all