I think you should do what you want to man, asking other's what you should do is pretty mute and void, as we can only talk for ourselves.
I think if you want to down size your collection mate, just sell the clutter of games that you don't/won't play, or haven't even played or have even a remote interest in playing. Be realistic, and completely honest with yourself. The "I might play it though" factor may come into play, but you have push past that man.
My collection has just reached 300 games. My want list has about 100 - 150 games on it, but I'm being realistic. Anything that's not new that's over 50, I won't be buying the physical copy. I'll just buy a digital download of it if I can, and if I can't, I'll go without. That's my outlook when collecting. I want I Ninja, Conker's Bad Fur Day, and Demon's Crest, but I can't afford to pay near €100 or more, for a used game.
I was going to collect for the Wii U and PS4 this generation, but the more I think about, the more I'm leaning to collecting for just one console, which feels very fucking liberating, I must say. I'm only collecting for PS4 this generation, only buying the MUST HAVE Wii U exclusives (Zelda, Metroid, Xenoblade), leaving everything else to the wayside.
Do what makes you happy man. Life is too short.
EDIT: I thought it worth mentioning that I'm not a collector. I don't buy games that I don't intend on playing. If you're a collector man, keep your stuff.
You said that you live in New Orleans, so with hurricanes and floods being a very real threat, you have to ask yourself; would you rather sell the game and make some money, or keep the game with the chance of that game being damaged and completely worthless? This obviously doesn't apply to any games that you absolutely adore, just to the ones that you're thinking of selling.
Again, I just want to say that I am not a collector, so I can't relate to your felling's towards your collection or collecting in general, so my opinion may be completely mute and void in regards to this topic. I suppose having the opinion of someone on the other side of the collecting poll might be insightful? (LOL).