Engine for an online store with franchising

Question

CMS

Advise the engine for an online store
you need a single catalog, many stores, many warehouses and a restriction in the admin panel for managing your stores (+ warehouses) only for editing prices and availability, each has its own 1c enterprise and uploading prices and quantities to the site.
+ almost all the admin functionality that is in Bitrix
frontend is not important (almost everyone has everything)
all studios advise Bitrix, but after explaining what we need, they offer such an architecture:
for each 1c-enterprise, its own copy of the site with which they are synchronized.
all copies of the site are synchronized with the main site
, this is because synchronization of 1s with Bitrix is ​​done in such a way that if you run 2s in parallel, they will write to one temporary table and break everything to each other.
+ I do not want Bitrix because for each new store (warehouse) - a field is added to the catalog table for the product. and it’s not clear how to add painlessly new users of the
UPD1 franchise, I turned down about my prices, the price is one, and the question most likely sounds like this:
In which cms you can run several synchronizations with 1s in parallel
And in which CMS multi-warehouse is implemented by a separate table with links to the warehouse and catalog

Answer 1

it’s probably easier to write it yourself
out of the box, no one has such functionality because there are almost no such stores on the Internet, as they say, a vivid example of Amazon 8)