With the fourth Test in Johannesburg beginning on Friday, if any players from the Shield final are to be flown over a decision will most likely need to be made before Tuesday, when the Shield final is due to finish.
The match has already seen major disruptions after all play on day one was abandoned due to a soaked outfield at the inner-city Brisbane venue.
Burns needs just one more run to register his fourth half-century of the season, having also struck two tons.
Renshaw has been in sensational form since the Shield resumed in February, notching three centuries in his last three outings, and would be the more likely option for the Australian side.
The 21-year-old looked uncharacteristically urgent in the middle, smacking four boundaries and two sixes before he edged Jackson Bird behind.
Matthew Renshaw of the Bulls plays a shot during day three of the final at Allan Border Field on Sunday.
Photo: AAP
Resuming on 6-360 on Sunday, Tasmania added 117 more runs before they were bowled out.
Matthew Wade (108) converted his overnight score of 92 not out into an important century, but soon after was caught by Queensland wicketkeeper Jimmy Peirson as he attempted to hook a short ball from rookie quick Brendan Doggett.
Sam Rainbird (57) helped pad out the score with his debut Shield half-century, which included seven boundaries and two sixes – aided by handy contributions from Jackson Bird (13) and Andrew Fekete (25 not out).
Doggett finished with figures of 5-101 – his second five-wicket haul in first-class cricket – on what has proven to be a rather lifeless pitch.
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SYDNEY MORNING HERALD
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