Can I remote install OS X via dmg?
What you propose works just fine on Mac OS Sierra with HFS + filesystems. Both deploy studio and server.app work fine for network installs. 

Whether this continues for High Sierra and APFS remains to be seen, but OS at 10.12.5 and lower all include network install functionality in addition to network boot and the setup steps are well documented publicly for both. 

The only wrinkle added for 10.12 is the touch bar and EFI component. As long as your Mac can connect to both the NetBoot server and Apple's servers you will be prompted to update the Touch Bar if needed. 


https://support.apple.com/en-us/HT207567


If you can’t do that, plain old internet recovery might be better for your situation.