which Pentos Trip? the first or second?
With the first you don't have to worry about losing Warscore from getting sieged because Dany isn't Temp granted a Pentos Barony like she is with the second Pentos choice, so you can keep your troops at Pentos or on your ships and Stall for time, for Dragons to mature for taming and for the current claim wars to slow down, the LPs and various lords tend to ignore multiple wars in favor of whatever was going on intialy, so most of the lords will have either declared in Robbs or Stannis/Renlys wars and wont back Dany right away, and those wars concluding is to your advantage, Robb winning his Independece bid usualy dethrones Joff/Tommen and most of the time Stannis will grab it, and as anyone that ever checked out Stannis enough will know he isn't very well loved and most of the time its easly to get half of Westros declaring for Dany over Stannis, if their not tied up in other wars, and if Robb and/or Stannis/Renly lose their wars Joff/Tommen will have usualy racked up a ton of Tyranny and the lords will be inclined to back dany if you haven't accrued too many negative opinion mods.
So, you need time to win the 1st Pentos track, if your bored you can risk declaring war on Stannis for Dragonstone and hunker down there if you don't lose too many event troops doing so. although the IT ai might go after you once you get a holding. If your dragons mature and your able to tame Drogon, spy out the area arounds Kings Landing and doublecheck to see if the current King is located there, if its Joff or Tommen its almost guaranteed since they are underage, so you can drop your stack there and burn the siege down with Dany/Aegon dragons if the crownlands armys are far away enough and win the war through imprisonment.