That's not what a range extender does, unfortunately. It would cut throughput (Mbps) in half for the modulation/coding/RSSI at its specific location. The only benefit to an extender is if you somehow had it halfway in the yard between your two houses, so that its additional gain on the second leg could hopefully compensate for the 50%+ deduction in throughput. Otherwise, an extender would just repeat an already diminished signal at its already diminished throughput, and then cut that in half. It's like trying to clean up a polluted river too far downstream of the BP oil refinery, you'd need to be near the source of the problem to fix it. (Basically, if the source has decreased its modulation from 256-QAM to 16-QAM due to free space loss across the yards, your throughput is down by around 30% already. You can't increase the modulation once that's lost. An extender just increases the coverage without increasing Mbps.)
Not sure if this is much cheaper or if there are other property lines to consider, but if you want the highest signal strength and throughput, you could cable across the yards rather than just cable to directional antennas.