Square tubing was recommended because of the better strength of a square tube compared to the same amount of metal in an angle.
Jeremy,
I don't want to labor the point past it's due, but you're right-square tube is a better choice , as a stand alone piece of structure, than the equivalent weight in angle.
However, there are a few things for you to consider here:
1) From the illustration you linked, the tube is not being used as a stand-alone structure. It is being used in a trussed structure, where the loads are primarily in one (the vertical) axis, meaning that you could use angle.
Consider, if you will, a radio tower. Very strong, trussed structure. Not much, if any, tube to be found there. Lots of angle
When you prepare the pieces for welding (and you will weld-it's more economical and faster to build, not to mention stronger, more about welding later) angle is the surefire way to go for a novice.
2) All steel sections-tube, angle, I-beam etc- have mill tolerances that allow a considerable amount of dimensional deviation, twisting and bending. You'll undoubtedly encounter this when you're assembling a track that's twenty(?) some feet in length.
Tube, precisely because of it's multiaxial strength, will be much harder to deal with, in terms of rectifying these deviations, than angle.
3) As I mention in my first post, a wheel riding on the toe of an angle, will be two or three inches from the sawdust accumulating on the perpendicular flange, making the clumps of sawdust almost of no effect in terms of accurate, smooth carriage travel.
Compare this with the problem that you acknowledge it will present with tube...
4) About welding your carriage: I understand your concern with adjustability in your carriage. Adjustability is an absolute must, but it should be at controllable points rather than spread over the entire carriage assembly, which is exactly what you'll have with all of those sloppy bolted connections, even if the bolts remain tight.
You need to know that once you align the carriage with the track(using controlled adjustment points/procedures), the entire carriage will remain in alignment with itself,even if you've had slight dimensional screw-ups in welding the carriage together. Once you've established this carriage/track alignment, you can align the saw blade with reasonable confidence that you're building on a solid foundation.
5) About "welding" itself:
Don't be intimidated by the thought of welding. Making acceptable welds (for your purposes) is something that you should be able to master in just a few hours.
It's a valuable skill to build upon, and once you've become more aquainted with it, you'll be able to expand the possibilities of what you can build/design yourself.
Your not building a suspension bridge, a pipeline, or even a radio tower. It's a sawmill, with very simple joint/welding requirements that will be so much stronger and dimensionally stable than bolting, with less effort in the long run.
It could...no, it will ultimately make the difference in whether or not this sawmill will work or be a source of frustration.
I'm trying to help you out.
I've been building and designing steel structures with mechanical interfaces for almost thirty years, so I'm not just guessing about this.
Good luck with your sawmill, and when that works (it will), good luck with the future.