Distinguishing by parameters with function templates and SFINAE

I'm breaking sweat over disecting function templates to three groups: one to produce functions that take integrals, one to take floating points and one to take the any other (that ostringstream::<< accepts). So far I can't even make it so that there are two groups, like so:

namespace my {

template<typename T>
struct logical_not
:
    std::integral_constant<bool, !T::value>
{};

template <typename T>
using static_not = typename std::conditional<
    T::value,
    std::false_type,
    std::true_type
>::type;

template<typename T>
std::string to_string(
    const T& val, 
    typename std::enable_if< std::is_integral<T>::value >::type* = 0)
{
    // integral version (ostringstream method would be replaced by a simple algorithm that forms a string)
    std::ostringstream os;

    os << val;

    return os.str();
}


template<typename T>
std::string to_string(
    const T& val, 
    //typename std::enable_if< logical_not<std::is_integral<T>>::type >::type* = 0)
    typename std::enable_if< static_not<std::is_integral<T>> >::type* = 0)
{
    std::ostringstream os;

    os.flags(std::ios::fixed);
    os.precision(2);

    os << val;

    return os.str();
}

} // my

I copied the to negating function from other answers, I left their names like so just so it's easier to distinguish. I find type traits incredibly confusing, I presume the error I get for logical_not is a wrong usage of that particular wrapper negater.

With logical_not error is Illegal type for non-type template parameter and with static_not in the instance of a class pointer type: 'my::to_string': no matching overloaded function found.

Please show me in the right direction if you can! My point is to add a faster implementation (without allocating for ostringstream instance) for integral types, adjust precision with floating point ones and have a function that handles the other types. Most likely no "negater" wrapper would be required for the final version, though I'd be curious why they won't work.