Text him "what do you want me to do with the mail?"
Compare the downsides. The downside to breaking your no-text rule is not as great as the downside to your not alerting him that he had mail to pick up, in case there is something time sensitive in there. And don't get into the business of trying to figure out if it's important or not, that's his business. That puts you in the clear if he is mad that he didn't pick up the mail and missed something important. That will not prevent him from acting mad at you anyway, but you'll know he's not being reasonable in that case.
My H moved out to a friend's house, did not respond to a couple of requests for the mailing address, and later moved to a room rental in a coworker's house, which seemed more permanent so I asked again for the address in order to forward his mail. The first piece I sent bounced because he had apparently not registered himself with the Post Office, so from then I started sending it to him "c/o Resident," at the address.
This is not pursuit. This is getting his legal mail delivered to him. Take action so you can put your mind to rest about it.
Adinva 51, S20, S18 M24 total 6/15/11-12/1/12 From IDLY to H moving out 9/15/15-3/7/17 From negotiating SA to final D at age 50 5/8/17-now: New relationship with an old friend __ Happiness is a warm puppy.