Check for power sounds when plugged in, and if it's silent avoid opening it since a blown fuse may be the issue... Hold the button longer and reseat the jar until it clicks into place before calling support.
Honestly, For bigger houses like yours, range is everything. Go for one advertising at least 2000 feet in open air and but remember that's not always accurate indoors. Thick walls eat up the signal. I've had luck with ones that have signal boosters or antennas but then works great.
Test it out in your house if you can and some stores let you return if it doesn't reach.