You are asking for a wide range of options.
For a real 2BR you will need to pay more than $2,000 just as for a real 4BR it will be more than $4,500 in the neighborhoods that you have said you are looking for.
I will go out on limb here and guess you are a single person, thinking that depending on what you find you will get some roommates together? It does not work like that.
A.) The apartments rent too fast for you to then find roommates after you have found an "acceptable" apartment.
B.) Landlords in this market are not likely to rent to roommates that have no relationship with each other ( College buddies, work together, etc.)
C.) You have to get your roommates together before you start your search; together.
If I am wrong, let me know what you are really looking for.
Kathryn Lilly, Broker
Realty on the Greene, LLC