I'd like to live with a Polish family instead of taking a dorm room at my uni's campus, and I heard this is one of the options for international students in Poland, so can you please guide me to where I'd be able to find one?
Who told you that? I think that it's impossible. I've only heard about some older lonely people subletting room in their flat in exchange for help with shopping and lower than market price. Actually if you have chance go for dormitory, because they're cheaper than renting something on the free market.