try online and call internet support...this may get you the full miles as you are technically doing it online.
Another option... try itineraries by price and by schedule...you will be surprised how many different schedules/fares you get! continental.com is very hard sometimes to navigate, you literally have to trick it to get the schedules you want.
And...CO just changed their fare codes Jan 1st...it is a mess...very confusing...I actually ordered the book with the new info...call CO and they'll send you one.
good luck and have fun in LAS!