In my other post ("The question is that" vs. "The question is") I said
I guess the 3rd way ... would be probably grammatical and idiomatic.
And I feel I could convey more confidence. Then this expression came out
I guess the 3rd way ... would be highly probably grammatical and idiomatic.
I am not sure whether it is grammatical and idiomatic. so, I search on ELL and Google Ngram
So, is it grammatical and idiomatic to say "would be highly probably"?
Before @Astralbee @KateBunting and @WeatherVane mentioned the other possibilities, I didn't consider highly probable, highly likely, almost certainly. Here is the update.