Thanks for the details! I’m sorry to say that I don’t know enough to help you very much. I have never tried looking for or working with non PVA wood glues. I suspect that even with PVA glue, you would have a hard time getting boards glued edge to edge stay at all true, so keep in mind you are likely to end up with some warp and unevenness that may show up later…. Actually I just had an idea that I think would work well - get/borrow a pocket hole jig and use that to do your edge joinery. A pocket hole jig is really a great tool that is easy to use. Check this out. Kreg is just the most common brand of pocket hole jigs. There are cheaper ones out there, although I can’t speak to which other brands are good/bad.