When setting an alarm you can chose for it to be a regular alarm or a Wake-up club alarm. Since the Wake-up club alarm counts towards The Ring Leader there is no reason to set any alarm other than the Wake-up club.
You can set consecutive alarms to go off every minute if you are looking to grind the trophies as soon as possible or you can use your alarm once a day to wake up for a year and get the trophy. It is really up to you as to how fast you want to grind out the trophies. However it is important to know you can only set 5 alarms at a time. With that being said after a successful wake-up club you usually have about 10-20 seconds before the next one (if you are going every minute). During this time you can hop in the alarm screen and set the alarm that just went off to a later time. By doing this you can have alarms going off every minute.