There are very few (if any) printers still on the market with built-in Bluetooth HCRP profile support. Instead, most printers are considered "Bluetooth upgradeable" as they have switched to the adapter model, so you can "upgrade" your printer to Bluetooth using what amounts to a standard USB or CompactFlash BT dongle.
This is how most of the HP PhotoSmart series works nowadays. They use both CompactFlash and USB modules for their printers. Here's an example of the
USB adapter. You can even plug it back into your PC and use it as a PC BT dongle, because that's all it really is.
Unfortunately, Bluetooth printing never really caught on in the marketplace like originally predicted, so products tend to have higher than average incompatibilities and worse than average support.