I'm not sure I'm visualizing your project correctly, but see if this would work. My patio has a wood frame around it made of 3 x 4 PT. I had to join the corners at an odd angle because the patio is an irregular shape. I used a jig saw. The blade wasn't long enough to go through the 4", so I made two cuts, one from each side. I drew a line and just eyeballed it, didn't use a jig. It came out OK, maybe required a bit of filing to smooth the cut. This might work if it's some kind of rough job. I think a Japanese handsaw could work also, as suggested, although the blade tends to flex so it might be hard to keep it straight on an angle cut.
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