I created the image shown below by shooting ten-second long exposures of drifting clouds (contrail) and stacking them. (They are false color because I isolated them from the daylight sky to separate my concerns to the cloud drifting alone.)
Since each frame stacks using the brightest pixels per frame, we are left with darker borders around each frame, "bands" that cut through the clouds perpendicular to their drifting motion. I want to eliminate these artifacts and restore the clouds to something resembling what we'd expect from a longer long exposure. I also want to do the best job possible at preserving the thin "stranded" details of the clouds in the path of their drift.
I have tried using the Spot Healing Brush along the "bands" with different blend modes and all three "type" modes without success. I also tried manually brushing over the "bands" with the Clone Stamp tool using the Screen and Lighten modes which was barely acceptable in quality but would likely take an entire day of manual brushing to deal with the full image.
What sort of techniques can I apply here in Photoshop, or other software if necessary, to achieve this goal?