I started off with a KLR650 but I want something a little more dirt worthy, nimble, lighter, etc...So I'm 6'2" 190 and I am looking for a taller bike. I know the both are pretty tall, the XR will most likely be better on the road, the WR has 6 speed transmission and fuel injection (is that better?).
It really depends on your personal preferences - neither bike is a bad choice.
The WR is about 50 lbs lighter than the XRL, making it a better dirt bike (actual off-road riding, versus dirt road riding). The wide ratio 6 speed transmission makes it more versatile than bikes with narrow ratio 5 speed transmission (like the DRZ). Fuel injection means better fuel economy and no issues with jetting when riding at varying altitudes. By all accounts, the little WR is a fantastic bike, punching well above its weight. The perceived disadvantage for many is the moderate torque and horsepower compared to 400 - 650cc thumpers. The WR is not fast or powerful. I understand it can cruise 65 mph all day. But it will be challenged to maintain velocity when powering up hills, fighting head winds, loaded down with gear, or other situations that require a bit more torque and power than the WR has. If that isn't an issue for you, then the WR would be a good choice.
The XRL's one major advantage over the WR is probably torque/horsepower. And if a stock XRL doesn't have enough power, you can get more as the XRL responds readily to performance mods. For me the XRL is a better choice for street riding than the WR due to the extra power (the hooligan in me prefers the extra power, but your mileage may vary).
Where are you going to ride the bike? If you are primarily going to ride it in Texas then consider the fact there is very little public land in Texas, so actual off-road riding is limited to the Sam Houston forest, pay to ride off-road parks, or private land. If you are going to ride lots of off-road, get the WR.
Conversely, Texas has lots of dirt county roads. If you are going to mostly ride public roads (both paved and dirt), then either bike is easily capable of handling any public dirt road in Texas. If this is the case, pick the bike you like best.
And, finally, I suggest it doesn't really matter which bike you chose. You aren't marrying the bike, so if in 6 months or a year you find you want to try something different, it's no big deal to sell your bike and get another. As you get into the dual sport world a bit more you will quickly discover that most dual sport riders have owned multiple different dual sport bikes and changing bikes is fairly routine (for example, I've been through 7 dual sport bikes in 10 years).