I think that now, I know that when is the release of Baggins 2.0 realistic

It will be around July the 1st, I think.

Baggins 2.0 will be Linux-only, and I released the alpha version now

Now, I released the alpha version of Baggins 2.0 (currently, you can only access the source code, but it will do the rest itself). It dropped pywebview (which is a great library, but not for that purpose) and replaced it with WebKitGTK (that is why it became Linux-only). But it has back/forward, search button, etc. in a single window. Its screenshot:

Its probable release date is September 1, maybe earlier.