Actually - Tylenol has no anti-inflamatory action whatsoever. Advil/Ibuprofen/Motrin or Naprosyn/Alleve would have anti-inflammatory action.

When treating a minor injury or inflammatory process, in order for anti-inflammatorys to be effective, they have to be taken pre-activity if possible, and then every 4 to 6 hours (or every 12 hours in the case of Alleve) for 2 to 3 days following the strain.

They do help reduce inflammation in acute pain, but are best if taken on a continual basis for a couple of days, rather than sporadically.

If there is inflammation, the area should also be iced for 20 minutes every 2 hours, then after 2 to 3 days heat should be applied for 20 min every two hours. If you apply heat within the first 48 hours of an injury you will increase the swelling, thereby worsening the injury and/or increasing the pain.

Rest and compression by way of an ACE wrap wrapped comfortably but not tighly are also helpful.

In your case - there is no actual inflammation post ride though - it is unlikely either of these measures would be effective for you.