You can set a time filter so your Price to Beat will be based only on options that match your schedule. If you know when you need to depart and/or arrive, be sure to include that information when you create your Price to Beat for flight and rail.

Once you've selected the appropriate time parameter, the search will be restricted accordingly.

Keep in mind that if you end up booking a trip that does not match the time window you specified when generating your Price to Beat, you may not be eligible for rewards.