Hunt me I hunt you yeah (Modern)

I'm building this deck for a $20 Modern format my friend invented.

Got the idea for it when I discovered Hunted Phantasm on Gatherer and saw in the discussion tab someone saying that it fulfilled the condition for avatar of might. That's the kind of synergy I want in a $20 deck.

I'm trying to tweak it to get the big hunted guys out quickly. I think that this requires a lot of card draw, rather than a lot of mana acceleration, because they come out soon on the mana curve as it is.

If I can't get it to be good, I may try swapping or maybe adding a color. There are a few other good hunted cards that are off-color. It's starting to look like adding a color may be necessary to make this deck good. I think it is possible to develop the necessary mana base and there's space for it in the deck, but I'm kinda skeptical that it'll be within the $20.

Ideas:
BEST SO FAR:

• Have things that let you put counters on things to make your Hunted Phantasm and Avatar of might more nasty. You could also replace Fog Bank with something that can deal damage, like Kaijin of the Vanisihing touch, so that it could accept counters. Then the only creature not to benefit very much would be the Ooze tokens and the Hunted Troll. Problem is that Kaijin can't fly.
• Blustersquall to help deal with tokens
• Leyline of Singularity to fix the token problem but be maybe kind of broken all in all.
• To increase card draw: Abundant Growth, Repeal, Curiosity, Fleeting Distraction.
• Kaijin of the Vanishing Touch to replace or supplement Fog Bank.
• Chromatic Sphere to help get the big guys out faster.
• Strength in number to give trample to the Hunted Trolls and 8/8 ooze tokens.
• There are more green cards to deal with flying tokens than non-flying. I could put in Scattershot archer or Trophy Hunter, which would be especially good if I got rid of Hunted Phantasm with its goblin tokens, but then I might have a lot of trouble getting off Avatar of Might, which I think is probably a crucial combo.
• Splashing red would give you lots of options for dealing with the tokens.
• Increase the number of creatures that your defensive cards can block? I can't find a good way to do this in-color.
• Ulvenwald Tracker for more removal. Costs $1.