Thanks for the responses.
so we made it into SATS with departure BPs - was pretty well warned that I had 3 hours, but we were only there for a bit over 2 anywhere (not sure if/how they would police 3 hours). Funny thing is I wasn’t paying much attention when giving the BPs - I actually Thought I was using the arrival BPs, but only realized after I got them back that I used departure. So I guess I can’t even confirm a DP on arrival passes either way.