Same apps on the App Store: One with IAP, the other paid?

I have an app in kids category that is free to download and try with a limited content. Customers can buy the full content with a single IAP.

Several schools requested for a paid version that they can buy in volume from Apple School Manager. So I have created a secondary, fully functional version of this app, which does not require an IAP to use.
I am also planning to develop this version as a "School or Teacher Edition" by adding special features in the future, but for now it is exactly the same.

Can I publish this secondary app on the App Store? What should I make sure that is different between two versions to pass the app review?

Would you recommend another options, such as switching the business model etc.?
I have an example of app on the appstore that exists in 2 versions, normal and Pro, at different price.

After rejection (considered as spam), I had to explain in detail how the versions where different, with different functionalities, even though the core of apps was common
In your case, the single app could be limited in number of registered accounts or individual preferences, unlimited in the other. You should consider as well additional features.
In addition, in the app information, you should make it clear that 2 versions exist.

adding special features in the future, but for now it is exactly the same.

That's risky. My advice (but that does not guarantee it will be OK!, just a personal opinion) would be to add a few new features immediately, and make things very clear for reviewer when you submit any of the apps or their updates.
Same apps on the App Store: One with IAP, the other paid?
 
 
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