Admittedly I don't know the specifics of your axle and am only versed in the GM 8.5/8.6, but the pinion shim is placed between the pinion head and the pinion bearing. You'd need a bearing puller and press or just take it to a shop to have the bearing removed.
The trial and error aspect is why a setup bearing needs to be made, to avoid pressing & pulling the bearing numerous times.
I setup my axles with a $30 dial indicator, Harbor Freight digital calipers, $30 beam style in/lbs torque wrench, and a crude $25 pinion depth measuring tool from Ratech.
The beam style torque wrench is needed to set pinion preload. You need to be able to measure the rotational torque, not torque required to start spinning the pinion.
The Ratech pinion depth tool served me well building the 8.5, but not so much during the 8.6 build. I'll likely go without it next time I build an axle.
Here's a post on my 8.5 build
https://texags.com/forums/46/topics/1797009/replies/51934819And 8.6 build
https://texags.com/forums/46/topics/3182161/2#discussion