Using a single member of a struct as a key in a map can be done (in principle) by using a set with a zero-overhead wrapper struct that only serves to override implementations. 
- Override Ord, Eq, PartialEq, PartialOrd
 To control it's order in the set.
- Override - Borrowso- BTreeSet.get(..)can take the type used for ordering, instead of the entire struct.
 
- One down side with this method is you need to wrap the struct with the container when adding it into the set. 
Here is a working example:
use ::std::collections::BTreeSet;
#[derive(Debug)]
pub struct MyItem {
    id: String,
    num: i64,
}
mod my_item_ord {
    use super::MyItem;
    #[derive(Debug)]
    pub struct MyItem_Ord(pub MyItem);
    use ::std::cmp::{
        PartialEq,
        Eq,
        Ord,
        Ordering,
    };
    use ::std::borrow::Borrow;
    impl PartialEq for MyItem_Ord {
        fn eq(&self, other: &Self) -> bool {
            return self.0.id.eq(&other.0.id);
        }
    }
    impl PartialOrd for MyItem_Ord {
        fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
            return self.0.id.partial_cmp(&other.0.id);
        }
    }
    impl Eq for MyItem_Ord {}
    impl Ord for MyItem_Ord {
        fn cmp(&self, other: &Self) -> Ordering {
            return self.0.id.cmp(&other.0.id);
        }
    }
    impl Borrow<str> for MyItem_Ord {
        fn borrow(&self) -> &str {
            return &self.0.id;
        }
    }
}
fn main() {
    use my_item_ord::MyItem_Ord;
    let mut c: BTreeSet<MyItem_Ord> = BTreeSet::new();
    c.insert(MyItem_Ord(MyItem { id: "Zombie".to_string(), num: 21, }));
    c.insert(MyItem_Ord(MyItem { id: "Hello".to_string(), num: 1, }));
    c.insert(MyItem_Ord(MyItem { id: "World".to_string(), num: 22, }));
    c.insert(MyItem_Ord(MyItem { id: "The".to_string(), num: 11,  }));
    c.insert(MyItem_Ord(MyItem { id: "Brown".to_string(), num: 33, }));
    c.insert(MyItem_Ord(MyItem { id: "Fox".to_string(), num: 99, }));
    for i in &c {
        println!("{:?}", i);
    }
    // Typical '.get()', too verbose needs an entire struct.
    println!("lookup: {:?}", c.get(&MyItem_Ord(MyItem { id: "Zombie".to_string(), num: -1, })));
    //                                                                            ^^^^^^^ ignored
    // Fancy '.get()' using only string, allowed because 'Borrow<str>' is implemented.
    println!("lookup: {:?}", c.get("Zombie"));
    println!("done!");
}
To avoid having to define these manually, this can be wrapped up into a macro:
///
/// Macro to create a container type to be used in a 'BTreeSet' or ordered types
/// to behave like a map where a key in the struct is used for the key.
///
/// For example, data in a set may have a unique identifier which
/// can be used in the struct as well as a key for it's use in the set.
///
///
/// ```
/// // Defines 'MyTypeOrd', a container type for existing struct,
/// // using MyType.uuid is used as the key.
/// container_order_by_member_impl(MyTypeOrd, MyType, uuid);
/// ```
///
/// See: http://stackoverflow.com/questions/41035869
#[macro_export]
macro_rules! container_type_order_by_member_struct_impl {
    ($t_ord:ident, $t_base:ty, $t_member:ident) => {
        /// Caller must define the struct, see: container_type_order_by_member_impl
        // pub struct $t_ord(pub $t_base);
        impl PartialEq for $t_ord {
            fn eq(&self, other: &Self) -> bool {
                return (self.0).$t_member.eq(&(other.0).$t_member);
            }
        }
        impl PartialOrd for $t_ord {
            fn partial_cmp(&self, other: &Self) -> Option<::std::cmp::Ordering> {
                return (self.0).$t_member.partial_cmp(&(other.0).$t_member);
            }
        }
        impl Eq for $t_ord {}
        impl Ord for $t_ord {
            fn cmp(&self, other: &Self) -> ::std::cmp::Ordering {
                return (self.0).$t_member.cmp(&(other.0).$t_member);
            }
        }
        impl ::std::borrow::Borrow<str> for $t_ord {
            fn borrow(&self) -> &str {
                return &(self.0).$t_member;
            }
        }
    }
}
/// Macro that also defines structs.
#[macro_export]
macro_rules! container_type_order_by_member_impl {
    (pub $t_ord:ident, $t_base:ty, $t_member:ident) => {
        pub struct $t_ord(pub $t_base);
        container_type_order_by_member_struct_impl!($t_ord, $t_base, $t_member);
    };
    ($t_ord:ident, $t_base:ty, $t_member:ident) => {
        struct $t_ord(pub $t_base);
        container_type_order_by_member_struct_impl!($t_ord, $t_base, $t_member);
    };
}