I got info from some players on Beta that, without any diamonds spent, you can get one ship to lvl 7 and another to lvl 3 or 4. Now, will see how things will go
Plan for a little less on live, as the beta players got a bunch of 'free' doubloons that we won't be receiving on live...
The wiki quest info is likely wrong about 2 doubloons per quest, as the math from beta, (ie: 22 doubloons added to overall quest line), means that the initial sequential quests are likely 1/quest & dailies will be 2/quest.
...overall it sounds like with all quests + daily log in, we should be hitting about 112-114'ish doubloons vs. the 135 the wiki is reporting.
So, assuming you're among the 1% that gets royally RNG-screwed, that's 5.7 complete maps (3 upgrades) + 3 upgrades from quest line.