I have a virtualization host that has a number of VMs on a NAT (iptables), and on which I selectively open certain ports to the network. What I want to do is have a number of reserved IPs on the LAN to correspond to each of the VMs, and forward the ports accordingly, so that I can then set up static DNS entries for each of these reserved IPs (e.g. "vm001.example.com", "vm002.example.com", etc). For example:

* Host is 10.1.1.2.
** The VMs are assigned IPs 192.168.1.10x on the host's NAT
** It has ports 10081, 10082, and 10083 forwarded to port 80 on VMs 1, 2, and 3, and is masquerading outgoing traffic.
* I can properly connect to 10.1.1.2:1008x and access the services
* The reserved IPs are 10.1.1.101, 10.1.1.102, and 10.1.1.103.
* I want to forward 10.1.1.10x:80 to 10.1.1.2:1008x respectively.

What I tried to do was set up a dstnat
However this still doesn't seem to work. I'm not sure whether I'm missing a snat on the router, or whether the iptables rules on the server are interfering. For record purposes, these are the chains used:
The second iptables rule is repeaded for each VM.

Is there anything at a glance which would prevent this setup from working as intended? I'm even open to alternate configurations to achieve the same goal - The only thing I do not want to do is bridge the VMs.