I've never been in one, and have only seen pictures of them, but the Cessna C-177 Cardinal should come close to meeting all of your mission requirements. They were produced from 1968 to 1978, and come in fixed and retractable gear models. They also come with either fixed, or constant speed props.
Early models start around $45K, and later models can run up to $200K.
If you have a budget of $60K, you should look for a $45K plane, and budget the remaining $15K to dealing with owner deferred maintenance.