Both are great games. I prefer TWD currently.
Between TWD and LOTR, I would decide based on this: do you want really long games?
The biggest reason LOTR does not get played at my house is the games are long. There are many more instances where a shorter game works better. I practically consider LOTR a 1 player machine, because playing with friends can feel like a marathon game. This greatly depends on your skill level. If you aren't a pro/semi-pro or will mostly be playing alone, maybe you would prefer LOTR. On the other hand, TWD can be very tough - so if you're not very good you might get frustrated with it.