Yep...it all depends on the cooler. The one I bought for 1155/56 also fits on 775/1366 using different brackets. It will tell you if it fits. $25 was all I paid...not sure you need an $80 cooler...Mine kept the i5 at 27C and it didn't go much higher under load.
I have not looked at every cooler...but just google 2011 heatsinks.
I bought this - COOLER MASTER Hyper 212 Plus. It's huge but works very well and it dead silent.