Chalice fights with Hymn to Tourach a little; you may Chalice them off 1 drops but then Hymn is really not that useful. They will end up discarding some number of useless cards left in hand, so Hymn isn't really doing much. I would probably switch over to Collective Brutality over Hymn with Chalice main. It's likely the best 2 mana targeted discard spell. White has been historically very good against Storm because of Canonist, and more recently Kambal.
My approach against Storm has always been to play a minimum of 5 discard main alongside the Hymns. Sideboard brought in Canonist.
How is your curve playing out? Are you doing meaningful things every turn or are you waiting for the right opportunities to play your cards out/waiting for mana? Mox naturally pushes you to 3 drops sooner but I've always been of the mindset to make sure I can still curve out, regardless of acceleration. Being able to curve out
without Mox Diamond is important. When DRS was in the format I always wanted either DRS or discard t1, Hymn or Library t2, and t3+ I wanted to have removal or threats. Those were my ideal games, the ones I noticed I was winning. I think Wasteland is putting a little bit of a kink in all of this as well. If you have an efficient 1-2 mana curve you can pop off Wastelands at any time turns 2-on, but when you are gearing so hard for the mid-game there may be missed opportunities to utilize Wasteland. A 2nd targeted discard alongside Wasteland t2 can be devastating. Again, this is in light of not having Mox available t1, which can obviously let you Wasteland and Thoughtseize t1 (on the draw.)
I think there are better Chalice decks, I would sideboard it at the most. It fights pretty hard with Hymn to Tourach, attacking completely different axes (one doesn't care how many cards are in hand because a lot of them are dead, the other wants to strip the hand as a 2-for-1) I would also re-evaluate the curve to make sure there are consistent combinations of plays turns 1-3 that deal with what's beating you. The further you go down the GSZ path, the more grindy of a deck you have that cuts early disruption for a more powerful mid-game. The more discard/efficient curve you have the more tempo oriented you become with a traditional Rock plan. Both have upsides and downsides.
I think another option, and call me crazy if this is just nuts, is
Trinisphere Once you have three mana you should be all set, you can curve discard into Library/Scooze/Goyf/Hymn or land a devastating turn three 3Ball. It's almost one-sided, really. You don't mind 3-mana Hymns and your most powerful mid-game plays are 3 or more mana anyways (Tracker, GSZ, Liliana.) Adding one mana to your cards isn't a big deal, Hym and Trophy for 3 mana are fine. Cutting opponent's off cantrips and spanking Storm seems like a fair tradeoff to me. Hymn works with Trinisphere better, too. It can take lands to prevent their answers to Trinisphere. EDIT: This is going way too deep, but Sinkhole then becomes pretty spicy. Mox Diamond into Sinkhole/Wasteland/3Ball. Evil...