Ok, I`ve had a listen.
Well, there`s a number of ways of achieving this.
Firstly this type of over crushed fizz is an archetype of a badly produced record.
Too much top end at the master, so when cut to vinyl (vinyl has restricted top end range) the tops have distorted in a very vinyl way.

Whay you have here, is a standard Jazz Shaker loop. Doing the da-da-DA-da it also has a little forward swing/shuffle to it.
There`s also what could be a tuned down 909 ride, that has been high passed and then stupidly over EQ`d on the top end.
I think I can just hear a 909 closed hat on a 16 note constant hit in there too.

To recreate this I would make a 16 note Shaker shuffle.
A 16 note closed 909 shuffle (slightly out of quanitsation with the shaker shuffle)
And wack either a 909 ride or a white noise ride from a drum generator.

Send the whole lot to a buss, sidechain it to the kick, add some Fuzz/Wave shaping distortion, maybe a little valve saturation, a dab of reverb, and over cook the top end.
Then make sure there`s a lot of room in the mix to accomodate it.

OR

Do the above without the distrotion etc, and totally overcook the high end, and let the vinyl cutter swear like a bastard and cut it, making those squashed distorted sounds.


I think I get the general feel you are going for.
Essentially you want the kind of hats that flow into each other, providing a constant gel between the kicks, so they sound as one instrument.
Basically 16 note closed hats/shakes, combined with rides, long open hats, or long white noise hats, and then sidechained, will give this rolling, flowing beahviour to any hat pattern.