The alteration Aug:
https://everquest.allakhazam.com/db/item.html?item=113798
This will give additional mana preservation on EVERY alteration spell you cast. Pyre is your main mana sink.
Additionally, enroll in the "Visions of Suffering" personal tribute. It's not huge, but is an upgrade over your worn mana pres on dots.
Death bloom you should honestly just automatically hit whenever you're at 80% mana. It's a short reuse, keep yourself topped off, mash it down.
It seems like your bard is doing something poorly. You shouldn't be burning through mana like that. Make sure you have chorus on, and make sure they're playing Pulse. Their reflexive also gives a good mana boost and can be used every 9ish minutes. Their lively crescendo line is another huge mana battery. It should be on their weave. Bards have a legitimate case for not using their progressive song, but it can also help regen mana.
Enchanter: check if they're using their BP and spire whenever they're up. If they're casting regularly, they can proc gift of mana for their group (mana avoidance) and shave off thousands.
With blood magic, don't be afraid to use it as a "preventative" oom measure. When it's an add heavy fight and I'm going to cast pyre on a dozen mobs, I can pop blood magic and laugh my way to the top of the parse at full mana. It's of course recommended to get down to at least 60-70 before you click it, but it's great preventative mana.
With over dotting, I made a modification to my HUD to show my dot durations. I'm away from my computer for the foreseeable future and can't share it, but something similar could help you as well... Instantly knowing what dots are on your target is a huge quality of life thing.
I'll think of some more stuff and report back.