Youre almost there! And dont worry about 4.1, its not a hard goal to hit. Starting with patch 3.1 and ever since theyve limited MSQ quests per patch to 5-10(in the 2.x series they were closer to 20 - this limits the "100 quests to advance expansions" style complaint). Without spoiling much, i seem to remember that patch having one MSQ dungeon and one solo duty. As this is your first combat class to 70, some quick tips to help you along. Do your level 70 class quest. This will get you a new ability and a full left-side set of gear + weapon. You might need a couple upgraded pieces to meet the ilvl requirement for the 4.1 dungeon. If you have any centurio seals(HW and SB A and S ranked hunts) you can buy some pieces from the centurio vendor in rhalgrs/kugane. Otherwise, finishing the "Stormblood" quest opens up the tome vendors in Rhalgrs. They sell i360 gear for mendacity tomes and i390 gear for genesis tomes. Both tomes come from almost any activity you do at level 70(roulettes, dungeons, trials, raids, PotD/HoH, treasure maps, hunts, eureka... probly more that im forgetting). You can also get some dungeon drops to help a little - every level 70 dungeon has gear that it can drop(level 50 and 60 each had some dungeons with none), and there were 3 you could do before patch 4.1(meaning they had lower required levels to enter).
Good luck! Youll be there in no time(if you arent already as of when i type this).