I have a marlin 357 mag that I've killed quite a few deer with, I didn't buy it as a hunting rifle I just got a smoking deal on it so I bought it (guy I knew in college got it as a Christmas present and sold it to me for 150$ because he wanted some stupid speaker for his car). Decided to hunt with it some and with 125 grain Remington gold sabers it's a hammer at 100 yards and in, very light and maneuverable. A few of years ago my wife bought me a marlin 1894 sgbl 45-70 that I had lusted after for years, it is an absolute hammer, one of my all time favorite guns and it will put a deer down with authority, it became my deer gun instantly. Last year I built an AR-10 to have something a little flatter for the fields where I have the opportunity to reach out.
Now the 357 is topped with a red dot, zeroed and sitting in the safe waiting to be handed down to the next generation, I think it will make a great first rifle. The 45-70 is getting a scope upgrade and I plan to use it during bear season and when I go into heavily brushed areas for deer, the 308 does the rest.
In summary, given your states cartridge restrictions I can't recommend the 45-70 enough.
357