I listen to a lot ragtime pieces played by brass bands. What generally characterizes the drumming? Which elements of the drumset are used more and which aren't used as much?
Ragtime and Jazz percussion are similar - they do have their differences though. To focus on developing your ragtime skills, master press roll/rim/woodblock rhythm patterns (less of a swing feel than jazz) and use small splash cymbal patterns for keeping time. Press Roll: 4 beats with the right hand, on beats 2 and 4 do a press roll with the left hand. A two hand press roll or shimmy beat can add variety. Bass drum chugs along at beats 1 and 3, cymbals should be simple and not overbearing.
Here's a great example of ragtime drumming technique a friend sent to me
Hope this helps!