@watericeair
I'd suggest that you change the type of insurance you buy. Very soon is the Magic Date by which you can give notice to your medical insurance company. It happens only once a year. Sorry, I'm not sure by when you have to act, but hope someone else here will tell you.
If you choose this route, you have to be 100% sure that they do, in fact, receive the notice. The formal way to do it is by Registered Letter (in an envelope, registered at the post office, costs about Fr. 6 in addition to the Fr. 1 stamp) and you must keep your copy of that letter AND the receipt of the registered mail transaction at the post office. After you've sent it off, send a mail to the person in charge of you, or your area, and ask for confirmation that they have received it. Print out their confirmation mail and keep it with your letter. That may seem over the top, but there are many tales of woe of people who THOUGHT that they had given notice, but whose medical insurance said they were still "theirs" and kept billing them (and chasing them for payment). It is not easy to just walk away, so make doubly sure you get it right from the start, and in writing.
Since you know you'll be needing treatment, in your case I'd advise insuring OUTSIDE of a HMO /managed care model, called "Freie Arztwahl" (= free choice of doctors) so you do not have to have permission from your Hausarzt, and also "ganze Schweiz" (= for the whole of Switzerland).
That doesn't solve your current problem, I realise that, but it will probably give you a lot more freedom from 01. January 2016 (if your termination notice goes through correctly and on time).
There is, in fact, no solution through your current Hausarzt. He doesn't want to refer because he doesn't believe in it, and he also doesn't have to refer. After all, that's how the insurance company keeps its costs down (and can offer those apparently discount premiums). That's that. Sorry.
For the rest of 2015, you can either:
a) continue to go to the diagnosing doctor but pay the full costs yourself (ask him/her how high they would be), or
b) find a different Hausarzt in your canton. To do this, you might have to pay the costs of the first appointment yourself, since your current Hausarzt will not refer you there, either. Be sure to ask, though, before you leap, how the new doctor deals with referrals.