IMO, the shops that specialize in strictly brakes and suspension/steering repairs typically are set up to do the best alignment work. Instead of a tech that does everything and every now and then doing an alignment, the techs that do them on a regular basis are in tune with what should and would be done. When a shop specializes in under carriage work, they typically also want to be known for alignments as a specialty. Plus, alignments are more specialized than get dirty grunt work of the under carriage variety. This is where that tech gets to think more than do physical work, more analytical so to speak, and it pays very well for the time it takes to do it.
You should ask up front about doing a thrust alignment, referencing the rear axle, and they should hang alignment heads on all 4 wheels, even on a rear axle where there are no adjustments to be made. They would be used to that with independent suspension vehicles with rear alignment adjustment capabilities. If they hang just 2 heads, walk away asap.
Rear axles, on our rigs, are supposed to point straight but they can be off just a small amount from wear and tear and that small amount can cause a PUSH to one side or the other and look like a dog tracking rig, from the rear, if that small amount is not referenced in the alignment and the front adjusted accordingly. A front end in perfect alignment can still need a slight **** of the steering wheel to one side or the other to keep rolling straight down the road, if that rear thrust is not referenced with heads on the rear wheels.