I don't have an answer, but I hate that we're in this position
There's some setup required to get this item engine going, but the nice thing is that even if the pieces don't align, these c haracters still have value independently

Advanced Search Sets Random Syntax "Lifetime" Pass Holder A Real Handful Abattoir Ghoul Abhorrent Overlord Abomination Abyssal Gatekeeper Abyssal Gorestalker Abyssal Harvester Abyssal Horror Abyssal Hunter Abyssal Nightstalker Abyssal Nocturnus Abyssal Persecutor Abyssal Specter Abzan Devotee Accursed Centaur Accursed Horde Accursed Marauder Accursed Spirit Accursed Witch Acererak the Archlich Acid-Spewer Dragon Aclazotz, Deepest Betrayal Acolyte of Aclazotz Acolyte of Xathrid Acornelia, Fashionable Filcher Acquisitions Expert Activated Sleeper Adorned Crocodile Adventurous Eater Aether Poisoner Aetherblade Agent Aetherborn Marauder Agadeem Occultist Agate-Blade Assassin Agency Coroner Agent Venom Agent of Erebos Agent of Shauku Agent of the Fates Agents of HYDRA Ahriman Aku Djinn Akuta, Born of Ash Al Bhed Salvagers Alchemist's Assistant Alesha's Vanguard Alley Assailant Alley Grifters Alley Strangler Alpharael, Stonechosen Ambitious Aetherborn Ambulatory Edifice Ambuscade Shaman Ambush Gigapede Ammit Eternal Ancient Brass Dragon Ancient Cellarspawn Andradite Leech Angel of Suffering Angrath's Ambusher Animus of Night's Reach Anointed Deacon Anowon, the Ruin Sage Anrakyr the Traveller Anurid Murkdiver Aphelia, Viper Whisperer Aphemia, the Cacophony Aphetto Exterminator Aphetto Vulture Apocalypse Demon Appendage Amalgam

It also doesnt have a lot of synergy with other item behemoth characters like Tamatoa which focuses on having items in the discard
If anything, I think the more sought-after doctors and the more coveted numbers will likely increase as time passes