Synoptic Accounts
Matthew and Mark have different arrangements of the chronology of Jesus' withering of the fig tree:
Matthew has Jesus' triumphal entry (1) and clearing of the temple (2) on day one of his time in Jerusalem, and on day two Jesus curses the fig tree (3), the fig tree withers (4) immediately, and he enters the Temple where he is confronted by the chief priests and elders (5).
Mark has Jesus' triumphal entry (1) followed by a quick look around the temple on day one, and then on day two he curses the fig tree (3), clears the temple (2), and then on day three they find the withered fig tree (4) and have their confrontation with the chief priests and elders (5).
Luke omits the account of the fig tree altogether, although has a unique parable of an unfruitful fig tree in Luke 13:6-9 which may possibly be related.
Observations
Mark is usually taken as the benchmark due to the theory of Markan Priority, but in this case there appears to be something of a parallelism in his structuring of 2-3 and 4-5, and so this may be evidence that the author did not entirely structure the events around chronological accuracy.
Matthew gives a more straightforward rendering of the fig tree events, but his overall account seems to have an added dramatic sense which is not present in Mark - i.e. Jesus enters the city on the donkey and essentially storms the temple, and the children are still singing "Hosanna to the son of David!" as if not a moment has been lost.
Luke omits the story altogether - but at face value does appear to share Matthew's single-day approach of Jesus entering Jerusalem and clearing the Temple... though it isn't so explicit as Mark that it's all definitely on one day, so it could be said he's ambiguous on this point.
Question
How can we determine the most chronologically accurate account of the withering of the fig tree and the cleansing of the temple? Are there any textual hallmarks, features or anything else which may help us determine which account may be more historically accurate?