Latham secured one opening spot on the West Indies tour with three 50s from six innings and an average of 48 but Rutherford is struggling for form.
Martin Guptill and Jeet Raval will come into consideration but Bracewell has first dibs.
Success should see him pencilled in for the three November tests against Pakistan in the United Arab Emirates. His stance and high backlift produce a strong driving game backed by solid defence and a sixth sense as to the location of his off stump.
"One good season doesn't make you a successful first-class cricketer," Bracewell says. " It'll be good to get further experience in English conditions having not played first-class cricket here."
This is where Bracewell's modesty needs a prod. He has played in England's second XI competition as part of the Marylebone Cricket Club's Young Cricketers after earning the right to be New Zealand's representative on the Lord's groundstaff in 2009, a prestigious role whose alumni include Martin Crowe and Ross Taylor.
"It helped me learn what it takes to become a professional,"he says. "I was there for the Ashes when 'Freddie' Flintoff took his only five-wicket bag in a Lord's test. It was amazing. We also helped out at practices. Seeing how players went about their prep was eye-opening.
"I was lucky enough to play two games on the main ground and the lunches were also something I'll never forget ... outstanding."
Bracewell, from a family renowned for their exceptional sporting accomplishments, is spending the English summer playing at the Downend club in Gloucestershire, the county coached by his uncle John Bracewell. Downend is a suburb of Bristol, and the 1848 birthplace of William Gilbert Grace. The club's home is called the WG Grace Memorial Ground.
"Apparently he lived across the road and played a couple of games there," Bracewell says of cricket's most famous bearded doctor. "The groundsman told me there's one particular area that dries quickest and that's where he used to train."
Grace is not the only former test cricketer Bracewell has come across this season. The Lashings celebrity invitation side played a fixture last month. They turned out an XI featuring former internationals Herschelle Gibbs, Saqlain Mushtaq and current England international Michael Carberry. Bracewell bowled Gibbs and made 52 off 25 balls before falling at long on as one of Saqlain's five victims.