I'd recommend using dxtory instead of fraps; it uses a hardware interrupt instead of screen duplication, so it saves a bit of processor strength AND can record in super high pixel perfect quality (Literally). However, the bitrate is unbelievably high and you'd end up filling gigs of hard disk space in minutes. There are, of course, configurations you can change to do typical ffdshow or, I think, h264 encoding.
Another alternative, if you want a lower bitrate but still high quality, is vhcapture. This is an older freeware program, but its unbelievably customizable in every way you can imagine. The good part here is you can save space with a lower bitrate and not cut too much of the video quality. At a certain point in bitrate, you hit a level where the perceivable quality of the recording improves incrementally less while you use much larger bitrates to record at. Ideally, you would need to find an inbetween spot where the quality and bitrate are acceptable.
Also, I forgot to mention on ts earlier that 60 fps is very difficult to achieve. With a 6 core cpu, you should be able to lock core affinity for maximum efficiency in recording, but still it will be difficult.
Here's an old video I made of dead island, you can try watching it at 720 and true 1080, but the quality doesn't really change that much. In my opinion, 720 is pretty optimum if you can't quite get the 1080, but I know alot of people appreciate that full HD.
[youtube]
http://www.youtube.com/watch?v=hZFhGhzxIVo[/youtube]
Anyways, no matter what you do be sure to record very high quality audio! Nothing irritates me more then hearing audio that sounds like it's from inside a submarine or coming from a walkie-talkie.
Lastly, if you're cpu cannot do 60 fps high res recording on it's own, there are alternatives like capture cards that are dedicated to video encoding and can do virtually an resolution at 60+ fps, but will set you back over 100$.