Your schedule is VERY tight and i would not like to risk it. Even with on-line check in you have to get from the train through the station, along the walkway to T1, through security, through the maze of shops that now block your way to the gate and finally,for FR, usually to the far end of the pier. I reckon its not on unless absolutely everything goes right and you run it.
Dont know where you are in N Wales but there are stopping trains from Holyhead from about 0500 that get you to Man Piccadilly by 0850 from where MAN airport by 0930 should be easy - if you are routing via Crewe that might be more of a problem. I am in Chester so I have some experience of getting to MAN by train.
The return looks equally risky but again, there may be different train options