Theory is wonderful, but practicality is better.
You want a vagina, but the "catch" is that you are a heterosexual male. So you're a guy with vagina-envy. Perhaps there are more politically correct labels, but that one seems accurate, no?
Now, with the label bit done... I'm reminded of something Jack Sparrow said. Something about what a man can do, and what a man can't do. You want a vagina, but is it possible? Feasible? Finding a surgeon that would give you one without doing to MtF process (which you clearly don't want) would be a very difficult quest, and such a person would not be likely, given their lack of adherence to global medical standards, to be very skilled. The result would be sub-par, in all likelihood.
And if you were to find such a person, it would also be likely to be far more expensive than any of the usual doctors.
I can't recommend working around the system for those reasons, but working within the system is also a no-go.
You can accept that your father was a pirate and a good man, or you cannot. That is, unless you find some third option (one that isn't DIY), you should just accept yourself for who you are - perhaps try to use your penis, because for all I know... what you are experiencing could be performance anxiety. If that doesn't work, then... seeing as how your options seem to be nil, you may just have to be asexual, or find a method to pretend your penis is a vagina during sex and a partner who will be happy to help... or work past your dysphoria, somehow.
If you are truly experiencing dysphoric feelings about your penis, then there may be things under the surface that need to be dealt with. If not, however, then... I can only wish you the best of luck. It would be difficult to work with such a thing, especially in the world of today.