Kudoes to you Allmondjoy for searching for an answer instead of just starting a new thread. It shows an effort to solve own problems without asking others, then asking someone who has similar system.
Asus H1I-Plus only has about 87.7mm center CPU to near side of PCIe socket, 48.9mm center CPU to near side of RAM socket and 89.5 center CPU to back of case (maybe a little more) .. no real clearance issues there except getting a cooler that will fit fan behind your RAM if it is tall RAM. As EasT said, we need to know your case CPU clearance is to be able to suggest coolers that will fit. Most manufacturers give the CPU clearance in case specifications.