Yes, I can recommend Tatranska Lomnica. It's such a cute little town with nice public transportation and everything within walking distance. My family stayed at Hotel Uran. http://www.sorea.sk/Default.aspx?CatID=162
It's not fancy but quite fine.
You might need more than one night in Slovakia, however. It takes a bit of time to get to the Tatras, depending where you are traveling from. And you should visit some of the historic towns close by like Poprad or Bardejov.
The Foreigner's Guide to Living in Slovakia