If you want that I would consider setting up an umbrel or even better citadel node instead.
With raspiblitz on updates you would loose your settings. It's really more built for bitcoin lightning nodes only.
Discussion
So I could use Umbrel on my raspi and just use it as a server with no node. That seems pretty good.
Yes, only thing you might have to figure out is to either get a static ip. Or have a way to easily find out your home ip when you want to connect if it's dynamic.
Is that necessary to be able to access the server?
From inside your home no, but from the outside
So what if I used tailscale for the server and for the bitcoin node. Would that give me a static ip right?
It might be a solution because it's a virtual private network type of connection between all the computers/servers/mobiles you have in your Tailscale profile.
If your goal is a website on clear net then something like dynamic DNS is the trick
I use noip myself