Make sure it’s just blackjack. For instance, when I was told not to slot anymore at a few places, it was a casino-wide ban. You could even sheepishly ask if you can still play slots (obviously don’t mention advantage slots).
As far as there being less heat, it depends on the place. Some casinos don’t care at all (unless you’re harassing someone on the machine), some care a little and will look out for huge winning slot players, some have a zero-tolerance policy for AP slotting and will boot you the moment you start clicking through a machine.
In your situation, I’d have to imagine you’d have a bit of a target on your back as soon as you come in. So assuming you’re even allowed, I’d do as much looking for plays with your eyes as you can, at least initially. It would probably also make sense to come at busier times so you don’t stick out as much to security. Not that you’d ever be completely invisible or anything, but it would help a little.