Um, I have several machines with several different generations of SSDs and I wouldn't consider this as a medium for storing data.
The SSD medium will most certainly not last as long as a hard drive, these are flash memory chips tied to a controller chip with (hopefully) some cache and stuck into a 2.5" case.
I use them for boot drives and keep my data elsewhere, especially temp files, swap etc. Writes degrade performance of SSD, even with TRIM enabled, and there is a limit of writes that the flash memory will take before dying out. The main advantage of SSD is really fast read, no moving parts, low temperature and no noise.
Ideal for a notebook, or a boot drive. Not sure it's quite "safe", there's plenty of them dying out there, especially the new ones. I wouldn't keep my precious data on them.
There are plenty of online storage options that you can get for free, which I'd imagine is enough for a music collection.
As for HTPCs and media collections, plenty of people chose to leave drives in a NAS box, properly cooled and placed somewhere else where fan noise is not an issue (attic, cellar etc), with a fast network connection. You can reuse some old hardware to build one yourself, or just purchase one. Some of the popular operating systems for self-builders are Windows Home Server and Unraid.
The biggest advantage of going with something like that, if properly configured, is redundancy, automated backups, versioning etc. You also remove the heat and noise from your HTPC. And some people choose to boot off the NAS, so the HTPC has no hard drives at all.
Assuming you won't be looking to read gigabytes of your music collection in seconds, you don't really need the speed of SSD.
I personally have two big slow 3.5" drives which run pretty cool and quiet in my HTPC, and it boots from an old 32GB SSD.