I'm working with polycarbonate, and I think it's absolutely fabulous. With Devcon's Plastic Welder (thanks to Morphling1), I get the strongest joints, in an excellent chemical bond.
You'll have to watch out for the scratch resistance, but it is available in a number of different compositions. Check out McMaster.com for more info.
That answers your previous questions, I believe... If you want to add some more reinforcements, you can add polycarb rods, running from top to bottom. Don't ask me for recommendations there: I am not a mechanical engineer!
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