I believe the specifications are 1.740" to 1.760", trim to 1.750".
I haven't seen anything that short once it's been fired (or even when new). You should set your resizing die using a case gauge that checks both the OAL (empty) and shoulder length. The shoulder is responsible for headspace, and is hard to measure any other way. The case will be too short if you over-form the shoulder.
0.008" is NOT too small to measure, it's just within specifications. It's more than the thickness of a paperback book cover, it's more than twice the thickness of heavy laserjet paper (20#), and about 3 RCH's. If you don't know what an RCH is, I'm not going to say on a PG rated website.
If you throw away brass after the first reload, you are tossing a lot of prep time too. I guess time is cheap if you're young enough with nothing else to do.