As far as networking on a laptop, you will find that it comes down to more of the router in use or the place you are connecting. There isnt a difference in speed, as Wireless N standards are just that, standard. All laptops will come with the same ability in this manner. Doesnt matter the laptop but the network you are connecting to. If you are at a hotel and there isnt a good connection in the room you are in, there is nothing that the laptop can do to make the speed faster. You will have to change rooms to get closer to the connection to get better speeds.
The LAN will be the same way. It will work as fast as the connection you are connected to. All laptops that I have seen come with the 10/100 network adapter that is used in just about every PC out there. So connection via a wire will get you the same speeds as a desktop. I have seen a few laptops with the 10/100/1000 network adapter, but there are few GB networks out there, none with a hotel or resort. Those are mostly big businesses so that isnt a concern.
As far as CPU and RAM, you should look for a Core i5 and around 6GB of RAM. It is a better processor. The Core i7 is the best, but you said you didnt want something that got to hot, the Core i7 will. So the Core i5 is a better choice, but it will still get hot. It would be recommended to have available a laptop cooling pad.
Using it a lot and overheating are just as much hand in hand as the type of CPU in use with the laptop. You will find that a Core i7, no matter what brand it is in, will get hot. That is just a problem with using such a powerful CPU in such an enclosed space such as a laptop. There isnt much room to cool these new CPU's so the machines will get hot. That isnt a problem with the brand itself, but more a problem of trying to cool such a powerful CPU.
I know the Samsung brand of laptops have the Matte screen you are looking for. I have seen them on a few others, but not as many have it as the Samsung lineup.
Walmart.com: Samsung Silver 15.6" NP305V5A-A0CUS Laptop PC with AMD Quad-Core A6-3410MX Accelerated Processor and Windows 7 Home Premium: Computers
Walmart.com: Samsung Silver 14" NP700Z3A-S03US Laptop PC with Intel Core i5-2450M Processor and Windows 7 Home Premium: Computers
Walmart.com: Samsung Black 15.6" Series 2 NP200A5B-A03US Laptop PC with Intel Core i5-2450M Processor and Windows 7 Professional: Computers
These are the 3 that I have seen and operated, for a short period of time. Working at Walmart I dont have the luxery of messing with the latops for to long. But I do have to install the Walmart software and do recoveries on the laptops. While they are a bit pricey, they will fill your needs.