Typical APRS use feeds you the latest position from each tracker each time it beacons. From my system at home, I could get all the latest updates as well without anything special. Of course, with packet collisions, I may have to wait for the next. If there was a collision, no one captured the beacon, therefore it won't be on any servers.
If the tracker is beaconing every 10 minutes, you won't get anything at a 5 minute mark. You can make the trackers beacon more often but now it is possible to overload the channel. If you are using a different frequency than 144.39 (US), then there is no impact on other APRS users. For that to work, your own iGates and digipeaters are needed.
Are you requesting a position from the tracker directly?
If you are only wanting to see particular trackers (stations), use filters. "Shrieks" come to mind. Each tracker would have it added to its comment. The APRSIS32 has functionality for it.
Each tracker could also use a tactical call sign. An example might be ABC1, ABC2, etc. In the comment, add the call sign of the club or user. Then, a filter for ABC* would get you all the stations starting with ABC.
Hope something helps!
Fred