Srry replying so late, do you have other possible Coolers, not sure if i can get that one the place i live.
1.Thermaltake Frio will perfectly suit your needs. It's even available in my country .I live in Pakistan BTW.http://www.newegg.com/Product/Product.aspx?Item=N82E16835106150
Here is the very detailed review of i7 3770k in which thermaltake frio advance is used http://techreport.com/articles.x/22833/5
In the review you'll see that the Frio was able to keep the 3770k ( overclocked upto 4.4 ghz ) under 70°C. Also keep in mind that 3770k runs hotter than 3570k.
As long as you keep the Vcore in between 1.2-1.3 the frio will have no problem keeping temps under 70°C under load. Besides the i5 3570k can go upto 4.5ghz on stock voltage anyways.
If you want to go above 4.5ghz than vcore has to be bumped upto 1.3x but this is where the ivy bridge goes nuts!! and gets very hot. For overclocks above 4.5 ghz(only in case of ivy bridge) water cooling is required.
2.thermaltake Jing http://www.newegg.com/Product/Product.aspx?Item=N82E16835106163
Note:Cheap coolers like hyper 212 evo or corsair a50 can't handle an overclocked ivy-bridge.