Attaching stuff to your bike can be tricky. Yes, certain parts come with an express purpose in mind, but they do not always function the way you want them to. Reader CamoDeafie, who also submitted a post on Military Bags as an affordable bike bag option, did not like the parts his rack came with so he came up with his own solution.
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I recently got a Sunlite Alloy rack for one of my bicycles, which does not have rack eyelets on the seat stays, after trying to get the OEM clamps to stay, since the seat stays tapered upwards, the OEM stuff kept wriggling and loosened by going further down the seat stays, so I decided to go get a couple P clamps, and mounted them to the original mount holes on the rack itself, it is now very secure and a rather clean looking rack :)
This is the Sunlite clamp system; a V bar and a straight bar, the straight bar is supposed to be on the outside of the seat stays, while the V bar is supposed to be inside, between seat stays and seat tube; due to the V shape, it would not stay in place on a seat stay system that tapers towards the seat; thus after riding it a while, or putting any load on the rack, the clamp would wriggle and fall down towards the crossbar;

I replaced the OEM clamp system that kept falling down on the tapered seat stays with two P Clamps; here is the relatively clean installation; I say relatively, because compared to the OEM style of mount, it is better, but it is not as clean as a braze-on system (which would really be awesome to see..)

a view from the seat tube area;

overall view of the rack area from above;

And yes that is a Cat Eyes rear light mounted in place of the rear reflector.