Which of these classes best at solo old content?

[LitheSuxman]

Want to play a class specifically for the purpose of soloing old content such as alexander, bahamut and many hard or extreme difficulty dungeons and trials.

That being said, I am stuck between three options.

RDM: decent dps and ridiculous self-healing
BLU: intended solo class
WAR: great burst damage with (sustainable?) plenty of self-healing

The reason why I'd consider WAR along with the other two is that I already main several dps jobs, meanwhile I don't have fun playing any of the healer jobs. My thought process is that if I'm to level up a job to a point that I can solo most old content, which is quite a time investment, might as well do it with a class that can fill a different party role for the sake of occasional quick queues. But if I am to be frank, I'm not exactly a fan of both RDM and WAR weapons and their postures. And I only know BLU being a side content solo class, what it does I have no idea.

Which of the three would you recommend based on my need and why? Thanks in advance