Could l shoot that course with my 686 Competitor.
Sure!
I even think it's "legally" configured, by IHMSA rules, if you want to keep score and all. (I.e., no porting, barrel length under 10 3/4", five pounds with iron sights or six pounds with optics max weight.)
I used a regular 6" 686 with scope for a while, shooting factory 357 loads. Did well, actually brought my scores up a bunch, but found the muzzle blast and expense a bit much. So went back to .44s after finally working up swaged lead bullet loads that shot as well as the .357 factory jacketed ammo with rather less blast. Kdiver58 is using an 8 3/8" 586 this year with very, very good results. And we had another shooter this month shoot with an iron sighted 6" 686.
The 6" barrel is long enough to have sight radius sufficient to reach out to 100 yards, no problem . If you have good eyes and/or good shooting glasses (like Knobloch or Champion's Choice) 200m should be doable. (I shot a 4" Model 67 at the match last weekend with decent results.)
I think for next year that my .357s may get reactivated for Big Bore Revolver class.
So, your .357 can be used in multiple classes, depending on how you set it up: Field Pistol, Field Pistol Any Sight, Big Bore Revolver, Big Bore Standing, BB Unlimited, and BB Unlimited Standing.
ETA: Reasonably close ranges to you may include:
Black Creek Gun Club. Patrick, SC
and the IHMSA range near Lincolnton, GA, which is on the back side of C. E. Norman's junkyard, AKA Little River Gun Club. Actually fairly picturesque.
LRGC 200m BB range near Lincolnton. There's the100yd Small Bore and Field Pistol available (just off to the right of this photo) as well.
SW282 and several others make the trek every month from your area to the Cherokee Gun Club's metallic silhouette range in Gainesville, GA. Which is where these photos were done. The fun resumes here in Feb. of next year on the first Saturday. Come on over!