I've never heard of any evidence
And you will not... Turks didn`t favoured nothing exept Islam, let alone orthodox Christianity, not from the creation of turkish secular state from 1920-ies till now, and certainly not during empire.
Bosnia is special case, always throughout history and today. During medieval times state or church were apparently regular, but stil different from the rest of known administrative or clerical european regimes, on east or west. This is the main reason why Bosnia lost their religious and national identity so easily with its consequences up to present days.
I already wrote about that subject shortly here and here:
In Bosnia there was what some historians today describe as heretic church - for that statement I do not have enough proof, but it was certainly unique church under the influence both from Byzant and Rome on substratum of old slavic customs and beliefs. The Orthodox church (in mediavel times also state ideology) in Greece and Serbia was base for preserving cultural and national consciousness of their people and giving hope for later renovation of state.
The point was that during turkish aggresion in Bosnia for centuries, bosnian church failed in preserving religious and ethnical core of most of their people - Serbs and Croat, so many of them converted into Islam surching way out of misery and sufferings, bringing us today what is known as Bosnians - slavic muslims
Although there`s not enough evidence or data to study it in more detailed overview, one can find out something about Bosnian church, about Religion and culture inside Bosnia and that some historians look at it through the prism of Bogomilism, yet specific religious movement or sect as you like. The most beautiful material evidences of bosnian medieval history were the Stechak tombstones.
There was times that I had the look at historical events in Bosnia just like at proceses that took part and ended at that place, but recent developments are showing that bad things are not ended yet and that Bosnia is the dark shire like like Ivo Andrich wrote.
You never knew that the Turks granted the Orthodox the right to collect taxes from the Roman Catholics in Bosnia-Hercegovina, and that the Orthodox were allowed to build churches while the Catholics weren't allowed?