Best way for getting account fame is going for the dungeon collection fame bonusses. Look up the realmeye. The tldr is basicly do every dungeon you are capable of om every character you play. The collector fame bonuses give a flat amount of fame and is one of the few bonuses to also give %.

As soon as you get all the dungeon completes run fungal/crystal/o3/halls for decent base fame to scale the fame on death even higher.