If you have a tie rod puller, a drag link is no big deal. You will have to remove the steering damper as well, which is also no big deal.

How are the idler arm bushings? Worn ones will also give you play in the steering. I'd check that situation as well while I'm under the car. One thing you can do is jack up the right wheel and try to turn it while the left wheel is firmly on the ground. Observe the steering linkage for play.

If it's just the drag link that's worn, I'd replace it and drive, just watching closely for uneven tire wear. As you say, it's a fixed bar with a ball joint at either end. How much can it be off with a new link?

BTW, I've had bad luck with premature wear using TRW steering links. YMMV.