If you look at the H44 (as an example) it can only effectively use the BB II engine.
In the chart, going in columns left to right the QUALITY of the engineers. The middle two columns are where most people would be.
B Class - +11 BVE
A Class - +12 BVE
Going down the rows, that is how many engineers you have on the ship. Goes from 1 - 5.
From what you said, you seem to have only two EBVE engineers. Looking at the chart, you engineers would need about 280 vets (40% vet cap) and be Lv 105 in order to reach the speed cap.
If you had three engineers you would reach the speed cap at Lv 118 if they were +12 BVE.
If you had four engineers you would reach the speed cap Lv 110 if they were +12 BVE or Lv 113 if they were +11 BVE.