I can't speak to your particular deal, but an normal SSD without the 2.5" case/shell will work perfectly fine. If you are worrying about grounding it out against anything in operation, a quick wrap with some electrical tape will prevent that from happening. No it aint as pretty, but it works perfectly OK. In our R&D department, rarely do SSD's keep a case/shell on for any length of time since we are always testing them and need to get to the electrical contact/test points frequently.
Without the case/shell, you can still use 2.5" hot swap bays, but you have to be careful aligning them and sliding them onto the SATA port. Also the auto-eject-when-you-open-the-door feature on many of these hot-swap bays wont work. you have to grab the edge and yank them out manually. But again, there is no "operational" issues, just form factor.
They actually run cooler without the case, not that it matters any..