External Display/Monitor Help Needed. Display Gurus Plzzz

Hello,
So I recently bought a new external monitor to use with my laptop. Well, newegg had a nice deal on a 24" 1920x1200 16:10, which "sounded" better to me than a 1920x1080 16:9. (more pixels, better quality) Well, I appear to be WRONG. Everything looks bigger, (just stretched out) and when I switch from 1200 to 1080, I seem to have further viewing. Is League of Legends (my main game) not really supporting 1920x1200? It lets me set resolution to it, but it just seems to stretch it out more than anything.

(I know I can just switch it to 1920x1080, but the quality is not that same as using a Native 1920x1080 monitor)

Also, I am well within my return window to return it. They also cover return shipping. So returning is no big deal at all! Thank you in advance!

Here is the monitor I have:
Newegg.com - ASUS VS24AH-P Black 24" 5ms (GTG) HDMI Widescreen LED Backlight LCD Monitor IPS 300 cd/m2 80,000,000:1

Here is the monitor I am considering to exchange for:
Newegg.com - ASUS VN248H Super Narrow Bezel Black 23.8" 5ms (GTG) HDMI Widescreen LED Backlight LCD Monitor IPS 80,000,000:1 Built-in Speakers

Newegg.com - ASUS VN247H-P Black 23.6" 1ms (GTG) HDMI Widescreen LED Backlight LCD Monitor 250 cd/m2 80,000,000:1 Built-in Speakers

 

Right click on your desktop, select "personalize"
On bottom left, select "Display"
Make sure "smaller (100%) is checked.

If not selected, select "smaller"

restart.