BSOD in the middle of the night and once while playing Diablo3

Since installing my new Samsung SSD my computer will occasionally BSOD on me

Can compatibility be verified? Do you have a link or screenshot or something of it?

From where did you get the Nvidia drivers?
Although they are more updated, they don't match the versions Dell has released and it is usually recommended to install the drivers the manufacturer provides due to possible altering of the drivers.
Updated isn't always the solution FYI.

Code:

7: kd> lmvm nvlddmkm
Browse full module list
start             end                 module name
fffff880`0f411000 fffff880`10055000   nvlddmkm T (no symbols)           
    Loaded symbol image file: nvlddmkm.sys
    Image path: \SystemRoot\system32\DRIVERS\nvlddmkm.sys
    Image name: nvlddmkm.sys
    Browse all global symbols  functions  data
    Timestamp:        Tue Mar 22 02:49:01 2016 (56F0A48D)
    CheckSum:         00BFF073
    ImageSize:        00C44000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4


Alienware Nvidia Graphics 332.70 Driver
File Name: Alienware-17_Video_Driver_7HKTK_WN_9.18.13.3270_A01.EXE Importance: Recommended
Description: Update Package for Microsoft® Windows® (355.86 MB) Release Date: 19 Mar 2014
Version: 9.18.13.3270 ,A01 Last Updated: 09 Jul 2014

Product Support | Dell US

however i did have a bit of trouble getting it to work at first, i had to mess with my BIOS a little to keep it from BSOD on bootup.

So had I when I installed my SSD, but I had also a bit of trouble when trying to upgrade to Windows 10 because somehow it resetted my boot order and there were some partitions on my HDD that let the BIOS think my HDD was still a boot device.

Can it be confirmed that your SSD is compatible with your laptop? I can't find anything except for the specs.

Good to hear :)