What difficulty are you trying to run? Given I normally don't bother soloing anything harder than 10N but in things like ToT they die just as quick as they had prior to the patch. As for self healing on fights like Magera I had actually just ran that on Monday as MM and can sadly say I died at 1% due to lack of self heals but with the patch as BM using a spirit beast which I left on ferocity during all of my runs I was able to finish the fight with over 90% using Spirit Mend/Gift of the Naaru/Exhilaration.
As a point of reference this is the
character I've been doing my runs on.
Just a recommendation on fights like council try to make sure you line up Stampede to hit all of the bosses. With the character shown above my Stampede is able to do upwards of 900k-1mil damage per target in just one cast allowing me to nearly kill all of the targets with just that alone. Beyond that just using A Murder of Crows which is also doing around 600-700k per cast and just swapping to another target to allow that to finish it off.
I guess I should also state for the record outside of just using MD on pull on any of the fights outside of Horridon I'm not trying to have my pet tank. I'm just gunning the bosses down and if they happen to attack me so be it.