Try ZooLib.
It provides a database with a C++ API, that was originally written for a high-performance multimedia database for educational institutions called Knowledge Forum. It could handle 3,000 simultaneous Mac and Windows clients (also written in ZooLib - it's a cross-platform application framework), all of them streaming audio, video and working with graphically rich documents created by the teachers and students.
It has two low-level APIs for actually writing your bytes to disk. One is very fast but is not fault-tolerant. The other is fault-tolerant but not as fast.
I'm one of ZooLib's developers, but I don't have much experience with ZooLib's database component. There is also no documentation - you'd have to read the source to figure out how it works. That's my own damn fault, as I took on the job of writing ZooLib's manual over ten years ago, but barely started it.
ZooLib's primarily developer Andy Green is a great guy and always happy to answer questions. What I suggest you do is subscribe to ZooLib's developer list at SourceForge then ask on the list how to use the database. Most likely Andy will answer you himself but maybe one of our other developers will.
ZooLib is Open Source under the MIT License, and is really high-quality, mature code. It has been under continuous development since 1990 or so, and was placed in Open Source in 2000.
Don't be concerned that we haven't released a tarball since 2003. We probably should, as this leads lots of potential users to think it's been abandoned, but it is very actively used and maintained. Just get the source from Subversion.
Andy is a self-employed consultant. If you don't have time but you do have a budget, he would do a very good job of writing custom, maintainable top-quality C++ code to suit your needs.
I would too, if it were any part of ZooLib other than the database, which as I said I am unfamiliar with. I've done a lot of my own consulting work with ZooLib's UI framework.