Just read and follow the instructions, and you'll be fine. Truly.
An unrestricted LTC requires the applicant to "show good reason to fear injury to his person or property." So, specify one. Clearly.
Also, though not required, describe why you're a model citizen. You a deacon in your church? A business owner? A volunteer at the hospital? A father of three good kids who are on the honor roll, with a son who's an Eagle Scout? A 30 year resident of your town?
Finally, describe your knowledge of firearms and your dedication to training. How many training hours did you take this year? How about specific concealed carry training? How often do you practice at your club?
Do not write about hunting or competition. This will only give them an excuse to give you a restriction.
Look at the application from the perspective of a dedicated civil servant. That's who reviews and approves these things. They are not looking to deny people unrestricted LTCs. But you have to give them a reason to issue you one, according to the rules they've been given to follow. You have to make it seem like an easy decision, a low risk decision.
Above all, do not whine about your 2A rights, or write stupid shit like "what part of shall not be infringed don't you understand?!"
Focus on the State's rules, the State's process. And give them good reasons to issue your LTC according to those rules.
if you do that, you'll be all set.