I have been messing around in the tie-up a bit, seeing what happens when I tweak things.
The first thing I did was change the direction of the twill line, to rose fashion, which of course produced a profound change in the “look”. Here is star fashion:

And here is rose fashion:

Then I converted the tie-up to a 1/3/1/3/1/3/ 3/1/3/1/3/1 twill to produce the boldest possible lines:

Whew! Makes me think of a zebra.
To soften the lines, I added some 2/2 on either side of the 1/3 and 3/1 sections:

Notice how dramatically the lines soften with a bit of shading?
Finally, I changed it from a balanced tie-up to one with more warp on the front face:
And I finally settled on this one, which is ever so slightly weft-dominant:

And the reverse side:

I think I will use this for my next shawl, which will be the red-to-orange-to-gold changing-color weft. Having a slightly weft-dominant side will make for lifting slightly fewer shafts (hopefully meaning less stuck threads), but more importantly, it will give the shawl a slightly different look on opposite faces. I don’t want to go overboard, because I want both sets of color changes to show, but I think it would be cool if it were slightly different on front and back.
I have been warned that all these shifting colors + complex design may turn out to be “just too much” – but while my hearing is excellent, I am occasionally hard of listening. 🙂 I think it’ll be a neat experiment to try, and if it works, it should be absolutely fantastic – and if it doesn’t, I’ll file it away for next time. As I read on a blog (Alice Schlein’s?) recently, “If no one is willing to go over the top, how will we know what’s on the other side?”
Listen to the warnings and then go ahead and weave. You really can’t tell everything from a computer drawdown in terms of the final fabric. I view weaving software as valuable from two points of view: it will get you a technically correct fabric–i.e., wefts and warps floating no more than you want with correct threading. and it will give you ideas to explore. Go weave it up…….once you’ve got your loom working. I would be so so angry if I had spent all that money and…………grrrr!