If you're playing mono-blue not-Merfolk you probably need to try and cheese wins off the back of Chalice. In terms of card draw, within the context of Chalice, your best options are Thoughtcast, Reverse Engineer, Thirst for Knowledge, Search for Azcanta, Standstill, etc... or you go down the Paradoxical Outcome pathway.
Without going down the Paradoxical path the question becomes naming the best 0 or 2 drop artifacts which preferably don't tap such that your deck can utilize the improvise mechanic. At least 8 slots are Spyglass and Chrome Mox (option to play without imprint). Best creature would be Walking Ballista, so now you're at 16 artifacts, and let's say 8 draw effects (Thoughtcast + Reverse Engineer seem best). Next best improvise spell is
Metallic Rebuke - instant speed has very specific implications with tapping down own Winter Orb (so Winter Orb x2 is a direction you could go down). Tag on a pair of Mox Opal and you're at 30 cards done. Blue count is high enough so FoW x4 and about 6 slots to work with.
You stay on Standstill x4 w/ Factories also in the manabase and maybe you want 2x
Foundry Assembler to really max out on Factory synergy. Could do Ensnaring Bridge and another wincon (probably a PW, probably Karn). Could be boring and play 4x TNN plus 2x PWs (at this point though, why aren't you playing Merfolk); Misthollow Griffon isn't good, but it's kinda fine with Chrome Mox imprints (recast it later, not really killing the Mox since it improvises), so that's another thing you could do.
For the sake of simplicity with the manabase, let's say 20 lands is correct and you're doing the Factory/Standstill thing: 4x Factory, 4x Ancient Tomb, 6 Fetch, 6 Island.
Removal is the problem in decks like these, not sure how you can fix it and keep the deck focused on 'doing the thing.'