Can you contact Sunbeam concerning an upgrade kit for the Core Contact Cooler? Thermalright offers kits for their older heatsinks.
Thermalright Macho is $53 shipped on Amazon, large, quiet and excellent cooling. Cooler Master Hyper 212+ is about $26 shipped.
CM Hyper 212 EVO is $35.
Lots of coolers in between.
EVGA Superclock is $50, Thermaltake FRIO OC is $55.