But let's cut right to the chase - Chaotic Good Bhaal, the Lord of Childbirth. Would still probably spawn a score of mortal progeny, just for different reasons. Entire series gets turned on its head.
So instead of the Bhaalspawn having the desire to murder and conquer, they would have the urge to canoodle? ... ... ... I just got an image of Sarevok the Lawful Good Pimp.
"My name is Amelyssan the Kindhearted, High Matriarch and greatest Midwife of my Lord Childbirth's Bhaalist temple! 'Twas I who led all the lamaze classes in his holy name!"
A carefree, Robin Hood Kagain. He needs an ale...and the finest mead for the others! Brave Monty, fair Ladies Dosan and deVir, Honourable Dorn Il-Khan, and Xzar of the Peaceful Repose. And the others in this fine drinking establishment.
Bhaal could be the god of healing and health, his priests wandering the world healing the sick people in need of Bhaal's gentle touch, teaching about herbs that heal for the moments when magic is not available. Harming a living being would be a sin and killing would be unforgivable.
If we go for opposite behavior and not just opposite alignment: Keldorn and Cernd competing for Father of the Year. Viconia living in chastity, aspiring to join Drizzt's band, probably gets killed before she meets him. Dorn sharing with the world his unparalleled knowledge of the "action and consequence" flowchart.
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Hmm... Bhaal could instead be God of Repose.
Edit i'm joking :'D