What kind of SSD did you install? Apple's or aftermarket?
Was it new or used? If used, the prior owner may have sold you his lemon.
Did you install it or did a service provider do so?
I can't remember if you had to disconnect the fan during the SSD upgrade.
If so, I suspect it may be still disconnected.
Do you have iStat menu's installed to see what temperatures you are actually experiencing and where.
You can use it for free in demo mode for a few days, I think.
It will identify the temperature sensor that may be experiencing the greatest heat. It should be the CPU die.
The iStat software also has a fan controller which you can speed up your fan to lower temperatures.
If you have an aftermarket SSD installed I can see where high temperature could cause errors (and computer freezes) due to slower timing.
Apple usually over tests their products so they are more reliable and we all pay for that extra testing with higher prices.
The hard drive and RAM is where I would rather have more reliability so I usually opt for premium drives and RAM from reliable sources.
My 2012 13inch Macbook Air battery (3 years later) is now having problems and probably needs to be replaced.
The extra charging I now have to perform causes additional heat.
What is the condition of your battery?
There are many software applications that can run and put increased load on a processor and generate more heat.
Microsoft's one drive, dropbox, and internet backups are just a few.
Antivirus programs are constantly running and if scanning the drive can increase heat.
As discussed above, Apple's Activity monitor can help identify these.
The 3 hour demo version of Little Snitch may be able to help to determine excessive internet traffic.
Finally, try booting into safe mode without extensions. iStat will probably not work here.
To see if you can boot to the network drive, I would suggest a wired ethernet connection instead.
You would have to get the USB to ethernet or the lighting to ethernet adapter.
Are you using a newer operating system than you had in the past with your smaller SSD?