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Hi. My name is***** I'm glad that you're trying to bring Checkers with you to your new location. Unfortunately, there really isn't a good oral sedative that would work in a manner that you're hoping for. Are you moving so far away from your current location that you can't have her brought to you later? Can you have the neighbors continue to feed her in the trap after you possibly leave and alert you when she's caught?
Honestly, the sedative effects of Benadryl (diphenhydramine) are very, very minimal and it won't allow you to really get close to grab her. Can you talk to the neighbors to see if they may be able to continue to trap her? You can explain to them that you'd like to take her with so they don't have to worry about her long term. That may be a good way to help them to help you.
Sorry about the call prompt. That is automatic by the site. Persistence with the trap is honestly the best thing to do. Maybe use some very smelly good food like tuna in it!