I didn’t understand half you said 
It’s true Wappler doesn’t support deploying to custom Git servers/providers yet, so there’s no “Wappler way” to do it. I suggest you use SFTP instead
You may still use Git for development, and git push to any remote of your choice. In fact, you could also do this to actually deploy your project on the remote server, but it’s not the “Wappler way”, so I recommend you stick to SFTP deployment