It depends what characteristics you mean.
For thermals you need a plane that flies slowly (low wing loading) to keep in the rapidly rising thermal 'core' but to get between the thermals you need both speed and glide angle (high wing loading).
For a beginner, that thermalling performance is the priority. This shows in the success of the Radian and other foamies which have little to no thermal-to-thermal abilities, but low enough wingloadings to ride very light lift. Those also happen to be the easiest planes out there to fly. I think the Radian is one of the best trainer platforms out there, and it's not a half bad thermal duration trainer either.
Joshua's original question makes clear that he has no thermalling experience, but a good level of flying experience, which is why I suggested a balsa model--it won't break the bank, still has the low wingloading, but gets him some of the speed range of a high performance model.
I've flown some of the much higher performance models, and between the expense and the more demanding flight characteristics, I would advise any newby to soaring to stay away from those until they've got their feet under them. That's why I also recommend against DLG's as first soaring platforms.
Flying any glider way downwind is always bad, whether the glider is powered or not. Work from thermal to thermal and try to make your way upwind. I only point this out because this is not really a deciding factor in choosing a first glider.
Uhm...have you flown a glider with good wind penetration? The folks who have it use it. They go waaay downwind to get the most out of that thermal, and they know how to get back upwind, too. I've got a little experience doing that--it's a necessary skill, though a bit nerve wracking. What's really amazing is what you can do when you have the ability to reflex the flaps and ailerons and dip the nose a couple degrees to get up to 100 mph for that return to home (yes, that's in the league of Supra's and things like that, so a little academic here).