As far as I am aware the Filcris product does not warp per se. Yes, there are issues that can be caused as the material can expand as it heats in full sun. But the warping issues I have seen reported are due to actual structures being built of multiple Filcris components that did not take account of this factor. My local 16 mm NGM group has one of two members who's lines make extensive, and subsequent repeat use of, this material in their lines construction and I have heard no comments as to its unsuitability or disatisfaction in this application. Indeed, there is a section on the Filcris website, in the second link supplied, devoted to the use of the material for this purpose with plenty of guidance. Perhaps they could offer advise in this particular construction.
I only offer the suggestion as it appears that Q Board, in this application, may be being used to the limit or even out of spec', as are a lot of materials we employ in this hobby are. If you feel my suggestion has no merit then so it be. Max