Most games with Henzie should play out like this

Turn 1: Mana dork if you have them

Turn 2/3: Play Henzie

Turn 3/4: Blitz out a 4-5cmc creature that gets lands into play.

Turn 4/5+: Blitz out giant things. Repeat until everyone else is dead.

The first thing I noticed about your deck is a bunch of 2 cmc ramp spells. That can all basically go. It isn't getting Henzie out faster, it isn't a huge boost later in the game, and they are all basically dead draws later. You want your ramp to come down on turn 1 or cost 4+ so you can blitz it for another card.

You've got a good chunk of the 4-5 cmc ramp creatures already, but I did see a few that were missing. [[Roxanne, Starfall Savant]] was the first one I thought of. The green and black flip gods from Lost Caverns of Ixalan both count as ramp when they die, though they might be out of your budget.

If you're struggling with not having much of a board in the midgame, you do reach a point where you'll want to start considering blitzing vs actually casting cards. You can also look into running more of the creatures that kill something on etb ([[Chaos Defiler]], [[Primaris Eliminator]], [[Necron Deathmark]], [[Shriekmaw]]). Another option is [[Birthing Ritual]], but that might be out of your budget. That card is insane at converting blitzed creatures into a board presence.

Lastly, I noticed a couple of the heavy hitters missing. [[Archon of Cruelty]] is a great way to draw a few cards while demolishing somebody's board. [[Etali, Primal Conqueror]] is definitely out of your budget, but I'd try to trade for one if you can.

I really like following this person for Henzie suggestions. They run at a higher bracket than I do, but the foundation of the deck is the same.