Righty,
Your post makes it seem like you think the PBA chose to be on against the NFL....if that's the case, you couldn't be more incorrect. ESPN chooses the timeslot for the PBA. ESPN chose to put it on against the NFL. ESPN thinks that the bowling gets a better rating against the NFL than anything else it can put there and thusly has kept it there for it's tenure on the network. While I understand the sentiment of your post, and agree I would like to see the PBA on at a different time, it isn't the PBA's call and ESPN has no incentive to move it. Anything else it would put there would get worse ratings than the PBA does.
And this is a very good point.
Let's look back at where the PBA was before.
Saturdays, 1 or 1:30pm Central time, on ABC. I don't know about where you live, but when I was growing up in Nebraska, that was right at kickoff for every Nebraska football game, home, away, or otherwise. Bowling was on against that, which was the least of people's concerns. As more access to it would come up, the tour became the option to get pushed out of its slot; one it had had since the late 1960s/early 1970s.
Then late 80s/early 90s. Again, where I lived, the PBA, LPBT, and PWBA tours came on ESPN2 every Thursday or Wednesday night - right in the middle of basketball season, when Jordan was dominating. Again, basketball grabbed more viewership, so the tours get kicked out of that slot.
Where I am at now on the west coast, ESPN's Sunday morning slot is actually better than what it had in the 80s and 90s. All that it goes up against are pregame shows, or paid advertisements. And by the time it is done, the football games are about to start. So for now, Sundays are not that bad. Saturdays would interfere with the kids' toons and college sports. During the week is a crapshoot thanks to college and pro basketball. So Bowling has the best slot it can get at this point.
BL.