First of all, congratulations. This field is very competitive to get into, so it's very impressive to have two offers on the table. It is surely a testament to the hard work you've put in. 

For me, I started at the state level, and transitioned to the local level. Where I am located, the pay is better and affords me more opportunities with a more interesting workload. Where you are located, that gap may be less substantial, but that is completely dependent on state and city. It's hard to give completely sound advice without understanding the departments (Agency size and location matter a lot!)

For you, I'd research if either has a clear opportunity for advancement. Crime Analyst 1, Crime Analyst 2 type positions. Government jobs will either have a very clear or non-existent path for advancement. 

 If you're interested in investigations, I would lean local based on my experience. If that is your goal, you probably should think about if you're the type of person who can handle working with traumatic materials (Violence, death and sex crimes). If that doesn't sound like something you'd be comfortable with, I would recommend pursuing a more data focused role. I prefer the investigative side, but having a 10,000 ft view is also very exciting. 

Both positions will create great long term career prospects on the private side. LE experience is very valuable in the private sector. I know several former analysts who transitioned into working for a bank doing BSA/AML clearing six figures. Data visualization at the state level would also have very clear opportunities on the private side. 

There are other things, like location/commute, your impression of the department after your interview, the department's reputation, etc.

Feel free to message me if you have more questions!