I don't think pure static is a good idea, and clipping into the ground is probably neither here nor there (if you're a gym employee, pick your battles...).
They do make gym specific climbing ropes. Some of these are "semi-static," offering something like 3-5% elongation and a good amount of durability. Of course you can't lead on these, but they are much more durable than a lot of static line out there (from what I remember, many static's wear quickly depending on how it is woven), which'll save your gym money in the long run. They also market "gym specific" lead ropes, but I can't think of any reason these are better than just a normal dynamic lead rope.
I can't think of any brands off hand, but a quick google would probably turn up something you could buy on a spool and cut for your needs.