Either your team composition, if there is already a tank or an AD Bruiser then go AP but if you lack of tank and no AD (Like Top Ryze, Mid Akali, Adc Heimerdinger, Supp Yuumi) it is preferred to go AD over AP. I usually enjoy the most AP Shyvana for the crazy outplays she can make and her damage is so beautiful and disappointing for them.
They're both pretty good. AP is more popular at the moment and is less vulnerable to being kited. Basically you mostly farm until 10:00 which is when your Transcendence turns on and you should have at least your first item. You just press R and use your dragon form E to poke people for big damage, but other than that you're really squishy. AP Shyv is useless without R.
Bruiser Shyvana is my personal favorite and plays very differently. You still want to farm early, but Bruiser Shyvana's dueling is much stronger and she can gank as soon as she hits 6. The Bruiser build makes you a more effective frontliner and gives you more damage that isn't reliant on dragon form. This makes it less punishing if a fight starts and you don't have your R.
I'd recommend trying out both to see which playstyle you like more.
sorry, i am a m6 main and i dont feel like you thinked too much before posting this, u should understand that she is an champin that has good mechanics and teavhes players on ho to play arround objectives insted of 90 anks per second.
Bruiser Shyvana is my personal favorite and plays very differently. You still want to farm early, but Bruiser Shyvana's dueling is much stronger and she can gank as soon as she hits 6. The Bruiser build makes you a more effective frontliner and gives you more damage that isn't reliant on dragon form. This makes it less punishing if a fight starts and you don't have your R.
I'd recommend trying out both to see which playstyle you like more.