The tough part is that there are many different components to a guy's looks including but limited to height, hair, shoulder to waist ratio, jaw, skin tone, and other facial aesthetics. So a guy might do well on some of these, but slightly miss the mark on others that some attractive chick might be hung up on.
As someone who is roughly 5'10", I can tell you that it is a "neutral" height. Women won't call you short, but they generally won't call you tall either. A 5'10" guy generally needs to be ripped and/or have GREAT facial aesthetics (and good hair or aesthetic shaved/buzz) in order to compete with the 6+ foot crowd.
Also, consider how far you are getting with these 6s and 7s that you want. Are you they shutting you down instantly (i.e. hitting hard "looks wall"), or do you get marginal attraction and then LATER end up friend-zoned (i.e. soft looks wall)? Don't answer this. Just food for thought, so you have some idea where your current limits are.