Looks like the original article I quoted got the year of his departure wrong (or I made the mistake myself. which is more likely), as The Western Times (Friday 16/2/1900) printed the names of all the men who were in the Volunteer Battalion, and Private Braund, of Northam, was listed in D Company of the 4th Volunteer Battalion Devonshire Regiment.
The Volunteers had been training at Topsham Barracks, and on Tuesday morning, 13th February 1900, turned out for their final parade at the Barrack drill ground.
After breakfast on Wednesday morning, the Volunteers marched to Queen Street railway station, Exeter, where a crowd of over 2000 saw them off, the train departing at 6.30 a.m., and arriving at Southampton Docks at 9.30 a.m. The men then boarded the Union mail boat, the 'Greek.' I can't find a photo of the Greek, but it's mentioned here -
en.wikipedia.org/wiki/Union-Castle_Line
The Greek left Southampton Docks shortly after 2 p.m. on the Wednesday.
On Wednesday morning, 21st February, the Greek arrived at Teneriffe, and left for Cape Town at 3 p.m. the same day, so the Volunteers wouldn't have been allowed to leave the ship, but mail home would have been sent.
From The Western Times, Saturday 10th March, 1900: - "One of the Devon Volunteer contingent who left Exeter on the 14th of last month and sailed in the "Greek," writing from Teneriffe says: - "Father Neptune made things lively for us in the Bay of Biscay. On the morning after we had such an enthusiastic and cheering demonstration at Exeter we turned out at six o'clock on board the 'Greek.' We had had a rough night, and nearly everybody was ill. So strong was the wind that the vessel was only making headway at the rate of five knots an hor. Nearly all were wet through owing to the spray. Those of us who can eat are doing first-class. The weather continued rough again on the Friday, the 16th, and few were able to turn out for the 'reveille,' which sounds at six o'clock. It was exceptionally bad in the Bay. On Saturday, the 17th, there was an even worse experience. The sea ran mountains high, and the crockery ware was smashed up. Some feel the want of a stimulant to 'buck' their spirits up
[probably rum], but none is allowed until Sunday. Owing to the rough weather none of us have ben able to wash or shave, and some look pretty queer. A photographer would make a fortune if the camera could stand the strain. The weather improved on Sunday, and we are able to have a 'wash and shave,' and 'a brush and crop.' Our first drill was on Monday, the 19th when we paraded in the forenoon on quarter deck, and did some marching to enable us to get our sea legs. After we leave here we shall do some rifle practice; but we are anxious to get to Cape Town, and shall be glad when we get there.""
The York Herald (12/3/1900) reported that the "Greek with 21 officers and 793 rank and file of volunteers, with two guns" was due to arrive at Cape Town, perhaps on the Sunday or Monday, but so far I can't find the exact date. After disembarking the troops, the Greek left Cape Town on the 15th, returning to Southampton with invalids.