Matej, I'd suggest Glayzer + Rozena this time. You'll see how you like it. I wanted to suggest G09C FH and Glayzer BH, but you said you don't like G09C, that can happen, it's fine. Don't get D09C, you'll like it even less. Forget H3 for a while, give it a year, and try that after a year.
About Glayzer, I have it on the BH, after many rubbers, it has the right hardness for my BH, and it is what I'd say a Butterfly's masterpiece in "compromise". Nothing exceptional, nowhere. There are rubbers which can generate more spin, but Glayzer still can generate enough spin, also for openers and flicks. It is very good for blocking, yes, there are rubbers better for blocking, but it is good enough for blocking, and there are much worse rubbers for blocking (e.g. Tenergy). And, so while we could say it is kind of average, believe me, even good players use it just fine - e.g. my friend, czech ELO cca 1950 uses it on the FH (mine is cca 1750).
Glayzer + Rozena will keep 1 side familiar, but you'll get used to Glayzer quickly anyway.