Two-Test tour in August confirmed but Starc and Marsh brothers rested from 13-man squad.
Stokes and Plunkett earn career-high rankings; Eighth-ranked Pakistan opens up 14-point advantage over ninth-ranked West Indies.
After bowling Bangladesh out for 182, Australia cruise to 83 for 1 in 16 overs before weather has final say.
Bangladesh is keen to build on its growing reputation in the 50-over game with another big scalp.
Australia and New Zealand share the points after their match in the Champions Trophy is abandoned because of rain.
In England, these two sides have played against each other thrice, with both teams winning a match each and one being abandoned.