As mentioned above, I am happy to say that this change has now been implemented in Version 4.0! If you click "Edit Process Settings" and go to the Other tab, you can enable a new option in the bridging section labeled "Apply bridging settings to perimeters". This will use your bridging extrusion, speed, and cooling settings for any perimeters that are part of a bridge.
We have also recently added a new Print Quality Guide topic that covers more tips on improving your bridges, so in case anyone is interested, I will link to that below:
https://www.simplify3d.com/support/prin ... r-bridging
Thank you for the great suggestions!