The folks here have given you good some good info so far.
To get in to the large mammal range you eliminate most semi autos. Those that remain are not the best to learn on for a new shooter. If you still want to go with a semi auto, which would leave you looking at 10mm hand guns for the most part. You may want to try one at a range first, before buying one.
On the other hand you have some more options with revolvers. But probably the best one would be a .357mag/.38spc which is just about right for some one just getting in to shooting.
But here is what I would be looking at if I were in your shoes.
I wish it was offered in a double action with stainless finish, but you can’t have every thing. And this option covers your needs with the bonus of cheep 9mm practices.