First choice would be a camera that shoots at multiples of 25, which I would think all action cams would be able to handle. You may need to “flip” the camera into a new mode for those rates to be available to you. GoPro calls it anti-flicker and allows you to reboot the camera into 25 or 30 fps mode, making 24-25-50 fps available to you.
If that is not an option (which I would find difficult to believe) then shoot at a higher frame rate like 60 or 120 fps. You would then have slo-motion available to you, and if you choose to use it at real-time then you would have closer matches temporally after dropping frames to match 25fps. The trade off would be the amount of memory needed to record that much data, and the shutter angle would make the footage appear differently than the A camera, and yes, the flicker would be an issue.