So even after upgrading my PC, I'm still suffering from Crashes, Stutters and Freezes! I'm not sure if it's something to do with my Load Order, but I've just started using Wrye Bash and it seems to have made a small improvement (however, my game just CTD whilst helping the Companions fend off the Giant outside Whiterun!)
Here's my load order (I'm hoping it's just something simple, like a mod that's out of date)
I'm also using Realvision ENB and Skyrim 2K Textures, but the problems are still present without them loaded.
Spoiler
GameMode=Skyrim
Skyrim.esm=1
Update.esm=1
Unofficial Skyrim Patch.esp=1
Dawnguard.esm=1
Unofficial Dawnguard Patch.esp=1
HearthFires.esm=1
Unofficial Hearthfire Patch.esp=1
Dragonborn.esm=1
Unofficial Dragonborn Patch.esp=1
Falskaar.esm=1
ClimatesOfTamriel.esm=1
moonpath.esm=1
SPIKE.esm=1
HighResTexturePack01.esp=1
HighResTexturePack02.esp=1
HighResTexturePack03.esp=1
Unofficial High Resolution Patch.esp=1
AOS.esp=1
Andragorn_Replace_Imperial_Sword.esp=1
Cutting Room Floor.esp=1
StaticMeshImprovementMod.esp=1
StaticMeshImprovementMod-DragonbornTernFix.esp=1
StaticMeshImprovementMod-FurnitureChestSnowFix.esp=1
TradeBarter.esp=1
Auto Unequip Ammo.esp=1
Prometheus_BeastSkeletons.esp=1
Immersive Battles.esp=1
Immersive Brigands.esp=1
Immersive Dawnguard.esp=1
Immersive Dragonborn.esp=1
Immersive Factions.esp=1
Immersive Mercenaries.esp=1
Immersive Patrols.esp=1
Immersive Travelers.esp=1
SignTown_by_YURIL_1o5.esp=1
WetandCold.esp=1
WetandCold - Ashes.esp=1
RaceMenu.esp=1
RaceMenuPlugin.esp=1
SkyUI.esp=1
iHUD.esp=1
AMB Glass Variants Lore.esp=1
Crossbows_Basic_Collection_EN_LL.esp=1
DragonbornArmorFix.esp=1
hothtrooper44_ArmorCompilation.esp=1
Immersive Weapons.esp=1
Lore Weapon Expansion.esp=1
SkyRe_Main.esp=1
SkyRe_Combat.esp=1
SkyRe_CraftingFix.esp=1
SkyRe_EncounterZones.esp=1
SkyRe_EnemyAI.esp=1
SkyRe_EnemyScaling.esp=1
SkyRe_StandingStones.esp=1
BetterDarkBrotherhood.esp=1
Gildergreen Regrown.esp=1
Inconsequential NPCs.esp=1
moonpath_questdata.esp=1
Run For Your Lives.esp=1
When Vampires Attack.esp=1
Essential Alvor.esp=1
AchieveThat.esp=1
BetterQuestObjectives.esp=1
BetterQuestObjectives-Dawnguard.esp=1
BetterQuestObjectives-Hearthfire.esp=1
BetterQuestObjectives-SkyRePatch.esp=1
BetterQuestObjectives-DBForevertoMisc.esp=1
Book Covers Skyrim.esp=1
Book Covers Dawnguard.esp=1
Book Covers Hearthfire.esp=1
Book Covers Dragonborn.esp=1
Differently Ebony.esp=1
Guard Dialogue Overhaul.esp=1
JoOPraetorian.esp=1
Lawrens RNG Guards.esp=1
SameWalkRunSpeedsLite.esp=1
SkyFalls Plus SkyMills - All DLC.esp=1
Convenient Horses.esp=1
dD - Enhanced Blood Main.esp=1
dD-Dragonborn-Dawnguard-EBT Patch.esp=1
aMidianborn_Skyforge_Weapons.esp=1
BetterQuestObjectives-AMBSkyforgePatch.esp=1
RiftenThiefEdition.esp=1
Realistic Lighting Overhaul - Dungeons.esp=1
Realistic Lighting Overhaul - Dawnguard Interiors.esp=1
Realistic Lighting Overhaul - Major City Interiors.esp=1
Realistic Lighting Overhaul - Minor Cities and Town Interiors.esp=1
ClimatesOfTamriel-Dungeons-Hazardous.esp=1
ClimatesOfTamriel-Interiors-Warm.esp=1
ClimatesOfTamriel-Nights-Level-2.esp=1
prod80_CoT_patch_FogEdition.esp=1
Better Vampires ML.esp=1
Balanced_Magic.esp=1
Balanced_Magic_Dawnguard.esp=1
DeadlySpellImpacts.esp=1
DragonCombatOverhaulDragonborn.esp=1
Acquisitive Soul Gems.esp=1
Soul Gems Glow When Full.esp=1
3DNPC.esp=1
Alternate Start - Live Another Life.esp=1
BetterQuestObjectives-AlternateStartPatch.esp=1
dD - Realistic Ragdoll Force - Realistic.esp=1
SkyRe_Races.esp=1
Better Summoning Visuals - TheGreyLight.esp=1
RealisticWaterTwo.esp=1
RealisticWaterTwo - Dawnguard.esp=1
RealisticWaterTwo - Dragonborn.esp=1
RealisticWaterTwo - Falskaar.esp=1
Unique Region Names.esp=1
Bashed Patch, 0.esp=1
Automatic Variants.esp=1
ReProccer.esp=1
ReProccerNONPLAYERfix.esp=1
ReProccerDragonborn.esp=1