How to get a certain recoil effect

[CPLJigsore]

In Marathon the assault rifle has a recoil effect I'd like to emulate in Doom. The video quality sucks so I'll explain what you're looking at: https://youtu.be/XJ8E6muH6_4

The assault rifle fires at a rate of about 2 tics, and every couple of rounds the rifle sprite's offset is lowered, and then fires a couple of rounds before the offset goes back to the original offset. This gives the weapon a neat "uncontrollable recoil" effect. Using Weasel's half tic trick I figured out that if I make ASRF BA (the rifle's standard and muzzle flash sprites) 4 tics and then in the FireHalfTic state I make ASRF BA 3 tics and set the offset to (0,28) it will give me this visual effect but makes the rifle fire waaaay too slow, at about 3.5 tics if I remember correctly.

So my question is can anyone think of a trick to both give this desired effect but also make the fire rate higher?

Sorry if any of this is difficult to follow. I'd have pasted my decorate code but I'm not at my computer at the moment.