Byzantium 1066 question

How badly do the Seljuks impact the empire?

I have had two games in 1178 where I am trying to keep a low profile but then each time the empire disintegrates and I am forced to step into the role of a saviour. Mind you, it is challenging but I am looking for a less apocalyptic start

I am looking for a start where I can enjoy being servant of the Basileus and at the same time, the Empire is weakened but not destroyed. Is the 1066 start a suitable one for such a goal?