I'll splash some cold water on this one too.
The "standard: twist for a 22-250 has always been 1:14, and it seems to be ideally suited to 55gr bullets. I have hit p-dogs at 700yds with that combo, though not with first shot capability and only with zero wind.
The longer/heavier VLD bullets will extend the effective range some, and of course help tremendously in wind, but they require a faster twist to stabilize them. A faster twist is a two edged sword though.
I had a 1:8 twist 250 barrel that shot like a house afire...for the 800-1000 rounds it took to burn the barrel out. I had to "download" the lighter bullets, or have them blow up before they reached the target. Shooting light weight bullets very fast from a fast twist barrel increases barrel wear considerably too.
I wouldn't recommend a 1:9 twist unless you only plan on shooting VLD bullets, and don't mind replacing a barrel after a few weekends of p-dog shooting, or a couple of months of target shooting. Shooting VLD bullets will likely give you less accuracy at "normal" hunting ranges too. They often don't start showing their accuracy potential until 250-300 yds.
A 1:9 22-250 is going to be a great 300-600yd varmint gun, but from a practical standpoint it will be a dedicated long-range rifle with a very short relative barrel life, and for really long range, there are much better chamberings than a 22-250.
"Up to about 500yds" a "normal" 1:14 twist and 55gr bullets would actually work pretty well. I'd prefer a 1:12 twist to be able to shoot bullets up to (maybe) the 70gr range to help buck light winds, but I wouldn't have another 1:8 (or 1:9) twist 250 barrel.
As far as hunting coyote bobcat and fox, an 22-250 is a great coyote round, not a bad bobcat round, and a terrible fox round (will turn them inside out), but again a fast twist will hurt here more than help. Unless you are specifically setting up for long range, almost all shots will be at less than 250yds with the majority at 100yds or less, and the VLDs out of a fast twist 250 will probably be less accurate at those ranges. For that same reason (shorter ranges) your choice of scope would be a hindrance for predator hunting too. A 6.5 X 20 is great for long range p-dogs or targets (probably don't need the illuminated reticle though), but is too much magnification for the coyote that appears 40yds from you. A 3 X 9 (or less) would serve better for that purpose.
If you are really set on shooting VLD bullets, you might also consider a fast twist (1:7 or 1:8) .223. It will be almost as good as the 250 at long range with VLDs (the winners in National Match competition prove it's long range capabilities every year). It won't be (quite) so destructive on fox, will shoot lighter as well as heavier bullets without appreciably increasing barrel wear, and it will have many times the barrel life of even a "normal" twist 22-250.