Revenue risk ahead, depending on the amount of money on the table, don’t muck about as this can get hairy real fast.
Before implementing anything seek out one or several consults of specialist expert(s) in SEO for international commerce, or international expansion
https://www.shopify.com/partners/directory/services?minPrice=&maxPrice=&serviceHandles=international-expansion&sort=DEFAULT
Hi @westcoastgifts 
If doing B2B and it’s only the B2B duplicates that are of issue consider making the B2B stores require customer accounts and lockdown any frontend;
see apps like locksmith or go headless for deeper control.
We can’t noindex one of the stores because there are unique products sold through each one that aren’t sold through the other.
Is there a reason you can’t just no-index the non-unique products using either the SEO metafield or theme customizations, or apps ,etc.
https://shopify.dev/docs/apps/marketing/seo#step-2-hide-a-resource-from-search-engines-and-sitemaps
Then use a canonical to make one site the primary?
At it’s simplest use hreflang tags https://help.shopify.com/en/themes/development/theme-store-requirements/internationalizing/using-hreflang-tags
And or SEO metafield to hide pages from crawlers using noindex & nofollow https://shopify.dev/docs/apps/marketing/seo#step-2-hide-a-resource-from-search-engines-and-sitemaps ; or customize the theme with the needed business logic in the layout files.
There are also canonical tags if you want to make one site the “primary” to in turn use redirects or ask for location, etc etc.
Also be aware robots.txt_.liquid_ was made editiable and controllable by merchants using liquid logic sometime ago https://community.shopify.com/post/1214502
Aside, Ignoring shopify for a moment, this is why some sites have a middleman site with placeholders/stub-content that then redirects to a geographical site that sometimes makes sense to visitors or is just obnoxious or ends up broken due to link rot.
Or set one site as the canonical, then redirect before checkout, etc etc
Unfortunately this the type of great question that’s isn’t necessarily vague in scope but it is complex enough that a forum post can’t answer entirely accurately because there can be a TON of variables: moving parts , possible solutions , tangled business logic , implementation maintenance & updates, risk of revenue involved , etc.
So either you do need to do some further research so you personally have deeper context to be a bit more specific , or find a specialist/agency.
https://community.shopify.com/category/selling-international
https://community.shopify.com/category/ecommerce-marketing
Please get a specialists opinion first and then,
If you need theme customizations to add custom hreflangs, or noindex business logic for a specific planned strategy, etc then contact me for services.
Contact info in forum signature.
ALWAYS please provide context, examples: store url, theme name, post url(s) , or any further detail in ALL correspondence.
Good Hunting.