I'm looking for a way to trim plank sheets so they match up well when glueing them edge to edge to make wing or fuse sheets.

If I use a straight edge to trim each edge the blade will often tilt and I don't get a 90deg edge. Depending on the grain, the blade sometimes rips the wood away from the straight edge. If I stack two sheets this problem is even worse. A balsa stripper will give me a 90deg edge but the edge needs to be straight, and I want the two edges to match.

I'm sure there's a clever way to do this, but I'm not clever enough to think of it.