Hi Panagrass-I do not have an answer for the OP's question-sorry. Perhaps the response from twerppoet could help you.
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If we are talking about page scanners, then one of the Doxie scanners (probably the Doxie Go) might meet your needs. None of them use BlueTooth, but instead use a combination of USB, Wi-Fi or cloud services to sync.
If you don't scan very often and have a 3rd gen iPad or later (because you need a decent camera), you might find that an app like Scanner Pro will fit your needs. While the results are not as good as you would get with a dedicated scanner, they are certainly good enough for record keeping and other less demanding uses. And you don't need to cary around anything extra.