The average APS turns around in around 30 days, so if you're going fully underwritten, expect that as part of the underwriting process. The insurer pays the fees for the information, normal business practices.
Can't say I would go the other route mentioned unless I did a little field underwriting first. If the persons information makes you think table rates to decline, the other route may actually be cheaper.
Be cautious, turn around has been creeping into the 4-6 week window with many places. EOY is bad because they pull staff to get audit info together, May through July is also no picnic.