[VeraN]

I think you left out vital information about yourself. What is your table image - loose aggressive, tight aggressive, loose passive, loose passive?

Do you want to maintain that table image or do you want to switch it up?

Unless you are portrayed as a tight aggressive player, I would bet here most of the time based on your notes on the CO player. Checking is not a bad option here but betting gives you significantly more advantages over checking in this situation, even if you lose the pot.