There is no 'vmnet2' folder (that would contain a dhcpd.conf file) file because I've never enabled VMware's DHCP server for this host-only network. I explicitly do not want VMware to run a DHCP server on this network, so doing that seems counter-productive.
The lines in my networking file for vmnet2 are:
answer VNET_2_HOSTONLY_HOSTADDR 10.172.160.222
answer VNET_2_HOSTONLY_NETMASK 255.255.255.0
answer VNET_2_HOSTONLY_SUBNET 10.172.160.0
answer VNET_2_VIRTUAL_ADAPTER yes
I did just happen to stumble across my answer, though. It looks like at some point HOSTONLY_HOSTADDR was replaced by VIRTUAL_ADAPTER_ADDR. The following does exactly what I want:
answer VNET_2_DHCP no
answer VNET_2_HOSTONLY_NETMASK 255.255.255.0
answer VNET_2_HOSTONLY_SUBNET 10.172.160.0
answer VNET_2_VIRTUAL_ADAPTER yes
answer VNET_2_VIRTUAL_ADAPTER_ADDR 10.172.160.222
