To check out the rest of the steering, get a shop manual.
Talking about the linkage that the steering box connects to, not the box.
Chapter 2 Steering and Front Suspension covers the basic checks to make for loose suspension and steering parts.
You can check each of those without the steering box working.
I'd start with wheel bearings, then play in the tie rod ends, pitman and idler.
Then check ball joints.
Those are the main things to start with.
Control arm bushings can be checked later.
Be safe. Wheel chocks, and if going under the car, then jack stands are must.
Wheel bearings just get the wheel off the ground an dwith your hands and 12 & 6 oclock check for how much play.
The tie rods and linkage off the steering gear check with your hands at 3 and 9 o clock, Move one wheel with the other on the ground and look for play at the joints. A second person helps but is not neccessary. Don't go underneath when lifting with just the jack. Just look.