If there's no light or anything like that, there shouldn't be any power draw when you're not using the jack. They are very simple 12 volt motors. I don't think there's any reason to worry about draining the battery. If you want, you can put in a disconnect or easily removable fuse in the line just to be safe.
I don't have a specific jack to recommend. I assume they are all basically the same thing, so get a cheap one.
2014 F350 DRW 6.7L CC FX4 King Ranch Ruby Red Metallic 158,000 Miles 4,450 Hours
2018 Cherokee Grey Wolf 29TE | Because I'm home, no matter where I am.
2018 Honda CB650F | Because the truck leans the wrong way when I turn.