LCD screens have two polarizers as an integral part of their function; the liquid crystals rotate the polarization to allow or block light's passage through them. Adding a third polarizer to the mix will have the effect you describe and there is not much that can be done about it. I have the same problem with the display in one of my digital cameras. Fortunately the LCDs in my cars do not pose this problem.

The orientation of the polarizers in a display will either be OK with your glasses or not. The only way to tell if a given device will blank out or not is to try it. I do not know if you can specify the polarizer orientation or not with prescription glasses, which is what I have, you might ask.

As a fisherman the advantages of polarized lenses outweighs the inconveniences for me, your mileage may vary.