I'm in the process of setting up my own DNS+hosting on a couple of VPS and my home machines, mostly for academic/learning purposes, but also for convenient accessing of my files, hosting my personal websites, private git repositories etc.

I've got a main web server with DNS, and a slave DNS server. I've also got a couple of machines at home doing file hosting, video streaming and all that fun stuff.

I'm intending to use my VPS's to provide myself with a dynamic DNS system so that I can point mydomain.com at my DNS servers, with home.mydomain.com going into my home network via a raspberry pi.

HOWEVER.... I've not got access to the network infrastructure at home (rented accommodation with managed internet), so I can't forward the ports on the router to my own machines. As such, I'm wondering if it's possible to route all the traffic via an SSH/HTTP tunnel through one of the VPS?

My plan is to have the raspberry pi provide a VPN into my home network. The raspberry pi uses SSH to connect to the VPS, and the VPS forwards any traffic to home.mydomain.com via the tunnel to the raspberry pi.

Is this even possible, and how do I go about it? I don't mind getting my hands dirty with coding and low level tools, I'm just not sure where to start or what the best way to go about it is.