Let me provide that below.
The correspondence which begins with Hamilton having sent out Mizner was sent on September 17th and was not timestamped. It can be found at 17 OR 2:222. Yet again, it read:
"Hamilton has sent out Mizner with a regiment of infantry and all our cavalry, under Mizner, toward Barnett's, on the Jacinto and Iuka road. The only thing we can do to prevent Price passing through the defiles of Bear Creek east is to push that division on him and follow it with all of Stanley's force while Ross makes a strong demonstration on his front. This is safe for a day or two if we can keep spies from running to Breckinridge and Van Dorn and Price and you can hold your hand against them. I can pursue with my entire force, which, including Du Bois and Danville, will be about 13,000 men of all arms."
-17 OR 2: 222
The second message which I cited is found in the Reports section of the Official Records, as it was reprinted in Grant's first report of the operation dated September 20th. The original copy is not contained in the correspondence, as is the case with many messages and orders, of course. This is why it was the only correspondence which I cited which was mentioned in responses to my posts, as it is the only one which others were aware of as they hadn't read the correspondence contained in the Official Records.
It was also not timestamped and is dated September 18th from Rosecrans to Grant. It read, in full:
"One of my spies, in from Reardon's, on the Bay Springs Road, tells of a continuous movement since last Friday of forces eastward. They say Van Dorn is to defend Vicksburg, Breckinridge to make his way to Kentucky, and Price to attack Iuka or to go to Tennessee. If Price's forces are at Iuka the plan I propose is to move up as close as we can to-night and conceal our movements; Ord to advance from Burnsville, commence the attack, and draw their attention that way, while I move in on the Jacinto and Fulton roads, massing heavily on the Fulton road, and crushing in their left and cutting off their retreat eastward. I propose to leave in ten minutes for Jacinto, from whence I will dispatch you, by line of vedettes, to Burnsville. Will await a few minutes to hear from you before I start. What news from Burnsville?"
-17 OR 1: 66
Remember, Grant had sent the following message to Halleck at 8:00 A.M. on September 16th, as well.
"For ten days or more the enemy have been hovering in our front in reported large force. I have watched their moves closely until I could concentrate my forces. All are now in good shape. Hurlbut's division has come from Memphis to Bolivar and about 6,000 troops from Bolivar brought here. General Orice is southeast from us, near Bay Springs, moving northeast. It is reported that Van Dorn and Breckinridge are to join and attack. Form the best information they cannot reach here under four days. My view is they are covering a move to get General Price into East Tennessee. If I can I will attack Price before he crosses Bear Creek. If he can be beaten there, it will prevent either the design to go north or to unite forces and attack here."
-17 OR 2:220
The above was sent before it had been ascertained from Mower's reconnaissance that Price was already at Iuka with "a strong force," which was, of course, basically, the Army of the West, which was reported back later in the day on the 16th.
As can be seen, the Fulton road was one way out. You seem to have this notion embedded in your mind that it was "the best way out." It was just one way out. I have covered that all extensively in my previous comments. Rosecrans and Grant has been in communication regarding the situation fairly steadily and continuously, of course, to that point.
Further, amidst the beginning of the operation, on September 17th, Rosecrans sent this message to Grant, concerned that they may have already missed their window of opportunity.
"Mizner's dispatch just in reports that the cannonading of our reconnoitering party ceased at 4.40 last evening, and that about 8 o'clock last evening a very large fire was seen in the direction of Iuka; the distance is 20 miles. Mizner has gone to feel of them since 4 a.m. My suspicions are that some houses and stores have been burned in Iuka, the place abandoned, and that Price has crossed the defiles of Bear Creek, and will pass the Tennessee before it rises- at the Shoals, if possible; if not, will proceed at once to above Decatur, near Whitesburg."
-17 OR 2: 222-223
As we know, Stanley's Division was divided, with Mower's brigade having moved to Iuka conducting the reconnaissance and Fuller's brigade coming from the west (aside from the 39th Ohio, at least, which would be given another assignment amidst this process). (See 17 OR 2: 221)
It isn't intended as an insult, it is just the obvious truth in that it is absolutely clear that I was the only one here who had actually read the relevant correspondence. That may be why we haven't heard again from Ned and Eric and the like, as it is clear at this point that the positions which they were putting forward did not reflect a comprehensive understanding of this subject. Again, that is not an insult. It is just the obvious truth from this thread, the exchanges and comments, which is okay, but hopefully this has provided them with the incentive to now go do so that way and as stated, I would happily engage in a constructive discussion from here.