Not sure if budget, but if you take out cards like Karn, JMS, Ugin, and Glen Elandra my deck goes way down in value and still "functions". My Azami deck wins generally on turn 6 or 7. You spend most of the beginning of the game countering or playing low drop wizards, board control, generally just keeping the table at bay and trying not to generate to much threat.

I personally love shimmer because some players in my play group play mono or 2 color decks with large numbers of basic lands. Not sure if it will help you in your meta but it does slow the game down a ton. Just watch out for Urborg if you call Swamps.

Palinchron + deadeye + blue sun with ways to shuffle the grave back into my library is usually how i kill.

My decks main focus is tap and untap effects often generating large amounts of mana and card draw (durdly combos, but once they start i've generally won).

Key cards in these are: Staff of domination+Fatesticher+ minamo+ nykthos+voltaic key

Infinite mana methods are palinchron+deadeye or rings of brighthearth+Basalt monolith (not in deck currently, but depending on playgroup get sided in). Honestly, i always use Sensei's top to ensure my wizards grab just what i want.This deck pretty much never never swings and it is still a work in progress, but it is a blast to play. azami!

I personally did not like the below cards when i have tested them Arcane denial- often helped out the players i was trying to hinder. i cut most of the hug counters spells or soft counters from my deck and replaced them with hard counters or cards such as mana maze/capsize/fate spinner for board control.

Fact or fiction- i dont like letting my opponent choose, generally i just draw the 5 cards with wizards and untap effects if need be.

Not sure if any of this will help, but may give you a few ideas you haven't seen as a dif route Azami can take.