I like the electric fence idea. One strand at the top and they will not come into the yard.
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In the past, people who have had their cats anonymously trapped and delivered to shelters have been able to get the names of the homeowners who trapped them via a FOIA request. Those who put down fake names/addresses were charged with falsifying official records or something.
A lot of animal control agencies will no longer deal with cats due to political pressure or budget cuts.
There are fences designed to keep cats in or or out. Most seem to use some kind of overhang they can't climb.
I couldn't get any to go into cage traps so I resorted to using an air rifle and foothold traps.