Thank you very much for your insight . The BenQ GL2460HM max refresh rate is 60hz, if I'm not wrong, and it fits my budget well, while for the LG I have to strain a bit, but I can compensate if it's worth the $40 difference. So I don't think that buying a TN with higher refresh rate is an option, as far as my options goes..
I can't comment on any specific models, I'm afraid. I know the principles, but don't follow the market very closely because I'm not planning to buy a new display and manufacturers seem to replace their models every few months - not worth bothering with it all the time.
Generally I'd say go for the LG if you can afford it. That's assuming its panel is fast enough to handle games (and at 5ms gray-to-gray switching time it should be, I guess). If they're both running at 60 Hz, there's no advantage to the TN display except the (slightly) lower price.
Bear in mind, though, that I don't know these specific displays or how these manufacturers as a whole perform at the moment, so I'm making a few assumptions based on general tendencies. No guarantees.