If you were in Jane's position (minus all the telenovela drama), could you carry to term?

Yes, it's another Jane the Virgin post. I know it's outlandish and unlikely, but for the sake of conversation..

You get artificially inseminated by accident with the sperm of a man you don't know at all. You went in for a pap smear, but now you're pregnant. It was his last sample of sperm, as he is effectively sterile now. He desperately wants to have his own children, but understands he cannot force you to carry to term. He is fully capable of caring for the child after it is born and will pay for the medical bills in the meantime. You didn't intend, or necessarily want to get pregnant any time soon.

Could you carry this pregnancy to term for a man you don't know?

If you carry to term, what parenting situation would you prefer? Coparent, give up custody, opt just for visitation, something else?