Thankfully I'm not as limited by your two choices as your choice of choices is limited by your ability to conceive ideas.
The Bible clearly states that the daughters got their father drunk so that he would sleep with them.
And God clearly designed the penis in a way which requires a) erection and b) penetration, in order to INseminate.
Even if he was flat on his butt drunk and "making a mountain" of his daughters, he was still the doer. His genitals have to DO something. You yourself used the verb "sleep" to describe his 'actions'.
Men do. Lucky men do often. That's biology.