"There is always room for improvement but it was good to see the way we fought back from a difficult position against the Bangladesh bowlers on the second day. It is especially pleasing to see our plans coming to fruition now because we know it's going to be very tough for our next Test series in Australia at the end of year but we believe we can put up a good fight there," he added.
It extended the West Indies' Test match winning streak to three matches following a series-clinching victory over England at the end of the series in Grenada three months earlier.
Kyle Mayers, whose 146 was the fulcrum of the West Indies first innings total of 148, took both the Man of the Match and Man of the Series awards.
Any fears of being frustrated by lower-order resistance from Bangladesh dissipated within minutes of play getting underway as Alzarri Joseph had Mehidy Hasan Miraz caught behind fending at a lifting delivery.
Nurul, who impressed with a second innings century in the seven-wicket defeat in the first Test in Antigua a week earlier, seemed to get into white ball mode with a succession of extravagant shots, his unbeaten half-century coming off just 50 balls and embellished by six fours and two sixes.
Yet as impressive as he was when on strike, the wicketkeeper-batsman was powerless to prevent the demise of his teammates as Jayden Seales removed Ebadot Hossain and Shoriful Islam while last man Khaled Ahmed was run out by a direct hit from Campbell to the non-striker's end to terminate another generally meek Bangladesh batting effort.
Joseph, Seales and Kemar Roach claimed three wickets each in the innings.
For Shakib al Hasan, back in the role of captain after a lengthy period off the Test side, this experience opened his eyes to possibilities.
"We have a long break before our next Test series so we need to take the positives, especially the encouraging performances of our fast bowlers, and make sure we are ready in five months' time," he said.
"We need to be mentally tougher in our batting to compete with the best teams in the world, but our greatest improvement in the last three-four years has been with our fast bowlers. So while the fast bowlers are working really hard and getting the results, we need to improve overall as a team to be more competitive in Test cricket away from home."
Both sides now adjust for the white ball formats with the three-match T20 International series starting next Sunday in Dominica after which they will meet in three One-Day Internationals.