I'm really not sure why your having trouble with the White Glassine wrapped body tubes.
Some people swear by sanding off the Glassine down to bare cardboard. I do NOT agree with this practice, however I do rough up the surface in the area where the fins are to be attached.
I've been using white finished tubes as long as they have been available, along with standard brown tubes for over 30years now with only an occasional broken fin landing on Concrete or Asphalt surfaces.
From your photo it does look like your using the epoxy rivet method of attachment but I only see a single line of rivet holes. You might want to try using dual line rivet holes alternating along the center fin alignment line. Not sure if that will help but it might.
Generally I use Elmer's yellow carpenters glue to tack the fins on, then a 1/2 fin thickness diameter epoxy rivet fillet to complete the attachment. I have 1983 and up Rockets with 20 to 70 flights without a single fin problem.
Have to admit I'm not a big fan of Titebond products. not sure if that could be part of your problem, Why not give Elmer's white glue or yellow carpenters glue a try. Using the double glue joint method either set up very quickly. It is my experience that both retain a bit of flexibility along with the 5 or 30 minute epoxy I use which is Devcon 5-min. or 2-ton. I have even older model rockets that are still flight-worthy with no fin or LL attachment failures.
PS: Not sure if you are aware that White glassine and old school clear glassine are actually the same chemically.