It's primarily a military range, but as stated the NCRRA runs out of there, with precision (F-class) rifle, pistol, skeet/trap, and Service/CQB (I think... or is that the ORA?)
The only problem I have with Connaught (at least from what I understand), is that it's not an "open" range. You can't go there on your day off, or go after work and just shoot. It's scheduled and organized, much like the RA Centre. If you want to shoot F-class, it is "only" during these hours, on these days. Same with the other disciplines.
If you want a nearby range that is generally available anytime, look to EOHC, or Stittsville (a commercial operation, not a Club), or Grenville (though they are anti-guest, and making life more difficult for even their own shooters). Smith Falls was not accepting new members, last I checked.