The latest version that appears on my beta list is also 1.11.0, so yeah it seems 1.11.2 is not on the beta lists and there's really nothing you can do to change that - besides asking Paradox to add it there maybe? But don't expect they do. The changes from 1.11.2 to 1.11.3 are so minor that probably that's the reason they didn't wanna maintain 1.11.2 on the list, because that'd mean maintaining two versions that are basically the same and Steam has a limited space for beta versions - the less the better.
As for your broken saves issue, I'm moving this thread to Tech Support so you can get better help on that.
As for your broken saves issue, I'm moving this thread to Tech Support so you can get better help on that.