Semi-permanently, otherwise known as permanently until shit breaks catastrophically (in the IT world at least).

Obviously you're going to need to set up a cordon. No one gets in. Limit the food supply.

This thing is cunning so we can assume that it knows what's going on. So actions need to be coordinated and rapid. Use satellite and IR drones to track the thing's location.

It's likely that live bait is required, so a few death-row inmates get to draw straws. Stick them in cages around the perimeter of the thing's active hunting area.

It's cunning, so it knows that the cages are traps. .. But I'm cunning too.

Now that the creeper has determined that it is in an area that is monitored, and it's being hunted, it will try to escape. We let it escape. Then we move the cages a few hundred miles out.

The creeper escapes again. A show is made, jets flying over etc. We move the cages.

Repeated enough, the creeper ends up in Canada or Mexico, and voila! Problem solved!

..well.. problem moved to someone else!

Been a while since I've watched it, but I think I remember a decent solution in this video:

https://www.youtube.com/watch?v=kjUm0-aI7BI

Set up a baseball stadium with all the lights on, blasting his song on repeat until he shows up. The firing squad is already set up and on standby for when he gets there.

I make a vague pledge to do something I have no intention of doing by 2050. It's the most comprehensive plan to deal with the creeper ever.

Apparently I have played too much Minecraft.

Refresh our memories, what powers did this one have? I remember the chick running it over with her car a bunch of times and that's about it from the movie.

Drone strike, send in a team to collect it before it can heal if it survives, lock it in a metal box and drop it in the Mariana trench.