Agree with the NAS suggestion. Will be more convenient and reliable than a USB RAID enclosure. I would look into Synology if you want a ready solution.
Data Hoarder
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exFAT solves the cross compatibility issue by removing most features other modern file system have. Fine for some users but not necessarily something I would recommend to someone with a drive array.
On top of that those USB RAID enclosures kinda suck. Unreliable, minimal status info and rebuilds tend to be tricky at best. You should not use them unless you are forced to.
A NAS is likely a much better option and they do not cost that much extra compared to a ~4bay RAID DAS.