I would look at the components that would be added to your Santa Fe for the "towing package". Things like a larger radiator, transmission cooler, oil cooler, suspension upgrade, and so on.
Depending on the source, I see that the Santa Fe is rated at either 2000 Kg (~~ 4400 lbs), or 5000 lbs. It's hard to tell from here what your Santa fe is rated at. If you are going to pull a 179, or 18x, or 19x, you'll probably want the version of the Santa Fe that is rated at 5000 lbs. If you don't have that version, I would check with your Hyundai dealer to see if your Santa Fe can have the required components added (sometimes it might be too expensive to do this).
If your Santa Fe is rated at the 2000 Kg limit, you might possibly be able to do the above, but you may be close to your limit. The pulling limit is one thing, the other thing is the GVWR (Gross Vehicle Weight Rating), or the maximum weight you can carry in your Santa Fe. You will need to know what the empty weight of the Santa Fe is, plus all the people and cargo you intend to carry, plus the tongue weight of the chosen trailer. Add all that up, and you will get the GVW (Gross Vehicle Weight). If that is more than the GVWR, then you got some splainin' to do (as Ricky Ricardo used to say).
So right now, I would say I don't have enough information.