I scrapped my IR repeaters in favor of a Harmony Elite with Harmony Hub. Not cheap, but well worth it.
The blasters are massive and have insane range. I have mine mounted at the bottom of the rack facing away from all the equipment, and it still bounces off various walls and triggers even the devices at the top of the rack that are recessed. On top of this I can control bluetooth devices (firetv box and the new Shield). And then I added the Harmony Hub extender and connected it to my Vera Plus and I can control anything through that with the Harmony remote as well. So now I have control over IR, IP, bluetooth, zwave, zigbee, insteon, Hue, and pretty much anything else you can think of. In the case of the shield, some apps didn't like the standard bluetooth Android TV commands that come from Logitech, so I was able to add a bluetooth keyboard as a device and switch some commands to that (it is paired to the devices in question as both a remote and a keyboard), and now I can send keyboard commands to it as if I had a bluetooth keyboard attached.
So even if it isn't directly supported, you may be able to rig it up to work. I like that I can turn on my projector (in the room with IR), turn on and work all my IR devices in another room with no line of sight, control bluetooth devices, and adjust my lights, all with one remote and without having to use a tablet or smartphone as the remote.
If that is out of the budget or you just don't want to go that way (or even with some tinkering you can't get it to control your device properly), try a different IR blaster (might have to just try a whole different repeater). My Niles IR repeaters was old but awesome on the equipment side, but the IR receiver eye only had a 12 foot range (I was 13 feet away, so I had to lean forward to make it work). The cheap repeater I bought on Amazon had excellent receiver reception (about 35 feet), but the blasters have about a 2 inch range at best, so for some devices this was a pain finding the exact spot on the eye to make it work, and I even had to double up some blasters to make it work. Really good IR repeating systems will allow you to attenuate the output and use different blasters to tune it in to work.
One thing for sure though, it isn't just "plug and play", sometimes devices are a pain in the butt to get to work right. Even after $500 dropped on a Logitech remote I had to spend 3 hours getting the hybrid remote/keyboard bluetooth setup to work right with the Shield. Huge pain in the arse, but in the end it was worth it for me.