Welcome to RTA!

The fastest route from SF to Bowling Green is:

I-80 to Lincoln NE
US-77/NE-2/IA-2 to I-29
I-29 to I-435 around the NE side of KC to I-70
I-70 to Wentzville MO
I-64 to Evansville IN
US-41 to Henderson KY
Audubon Pkwy to Byp-60 around Owensboro
Natcher Pkwy to BG

This is a full 4 days drive, suggested overnights near Wells NV, Cheyenne WY, and St. Joseph MO.