First Speeding Ticket in the US—Any Way to Reduce Fine or Avoid Points on License? 68 in a 45

Hello Good people,
I got my first speeding ticket in Texas for going 68 in a 45 (not in a school or work zone). The fine is around $300, and I’m worried about points on my license and higher insurance.
Since I’ve never had a ticket before, I’m hoping there’s a way to reduce the fine or keep it off my record. Can I ask for deferred disposition (probation) or take defensive driving to dismiss it? Does showing up in court help, or do cops usually not appear?
Also, how much will this affect my insurance? I was pulled over in Georgetown Municipal if that helps. Any advice is appreciated!