I will you tell you what I tell everyone in your situation. Yes, you can tow that trailer. You can do so safely, but it will not necessarily be a pleasant experience. Just know that you will have limitations. The good part is that the trailer has a decent cargo capacity. As said above, it's not likely you will use it all.
No need to carry water, most CGs have a fresh water fill station. That's 215# you don't need to worry about.
All that said I have towed 2 different combos very close to my capacities. It was safe, it worked "fine" as some will tell you, I "had no problems" as others will say. But I have also towed using vehicles that had plenty of reserve capacity (as I am now). It is a night and day difference in comfort and ease of towing. Your biggest limit will be long distance trips and mountains.
For your first couple of trips I would recommend short trips on relatively flat terrain. Get to know the rig, how it feels and handles. Towing a box down the road is the equivalent of you holding up a 4x4 sheet of plywood and running into the wind. It's going to make your Equinox sound and perform far differently from normal day to day driving.
2013 Jayco Jayfeather X20 E, 2008 GMC Sierra 1500 Crew Cab Z71 SLE