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aaronmcd -- new frame or wheels that allow you to run wide tires may not help you with preventing pinch flats.
If you do that, you'll then want to lower pressure. Lowering pressure will make you more prone to pinch flats with tubes.
Tubeless....think carefully about that one.
Hitting square edges is a reality in mass start racing and is a good case for tubulars. There is a real reason why they are useful, though there are plenty of reasons people find not to use them. They're also safer (just a bit) in many scenarios; you can often find amazing deals on them, too.