Its been awhile since I bought a UPS.
This can help you choose one that will be capable for your system.
http://www.csgnetwork.com/upssizecalc.html
I am not sure of your monitors wattage but I am tossing 70 watts there which is at the higher end. It suggests a 650VA unit
http://www.newegg.com/Product/Product.aspx?Item=N82E16842101392&cm_re=APC-_-42-101-392-_-Product Will work, it is over the suggested rating giving you room to grow and will allow more time if your system is under load, it will also give protection on coax, telephone and ethernet.
This unit
http://www.newegg.com/Product/Product.aspx?Item=N82E16842101138&cm_re=APC-_-42-101-138-_-Product
will last 17 minutes at 270 watts. Which will be more than your needs, but it only capable of a maximum of 540 watts, so if your computer load goes above 540 watts the UPS may shut down to prevent damage.
Edit: I see you choose one, unfortunately that link doesnt work so I cant see. Did some modding of the link, that one will work for you fine. Its cheaper to, nice find. for some reason that didnt show up in my searches