best bet would be a way to increase the R-value of your windows (insulate them better) and reflect the sunlight.
what I would do is go buy the thickest rigid foam (the pink or blue dow polystyrene kind) you can fit between your blinds and the window. 2" will probably work. cut it down so that it fits very snugly in the window frame (you could use weather stripping for an extra good seal). Paint with white latex paint to match your walls.
if that isn't enough (I bet it will be unless your AC really sucks), you can try and get a thermal flywheel going, depending on the size of your place. get a bunch of 5 gallon buckets, fill them with water and seal them off. at night, place them right next to the air conditioning duct to chill them down. during the day, move them to other parts of the apt, where they will absorb some of the heat. this basically transfers some of the peak cooling load to a time when the AC has some capacity to spare - hence the name thermal flywheel. This won't work too well if you have a huge place (unless you move to 55 gal. drums), but can make a difference if done right. Also beware condensation on the outside of the buckets.