jaunty, you do not say where you are located and I am sure there may be someone who just does not know how to run a business and who turns away potential customers. It is possible and in that case you can just try other places.
On the other hand you might be giving the wrong vibe. You might give the impression that you don't know what you want, that you are going to take up a lot of their time and that they probably have better things to do with their time.
Write precise and concise specs and ask for a quote and send it to at least three manufacturers. It should be something precise and clear. If they see something which raises a ton of questions and which looks like something which was put together by someone who is not clear then they prefer to leave it aside and go on to clearer pastures.
You need to have it clear what you want and make it clear to the possible supplier so that he can feel confident that he can give you an estimate in very short time and not waste time asking questions of someone who looks like he might not know the answer.
Another idea is to try to find commercial, ready-made, transformers which can do the job, even if not perfectly. You will save a lot of money that way.
Anecdote time: I was the purchasing manager for a manufacturer and I purchased line transformers from a supplier with whom I had a good working relationship. A guy from the lab told me a transformer from some instrument had burnt and he gave me all the info so I could order another one built. Core of x by y mm, so many turns of such diameter, so many other turns of such other diameter wire, etc.
My supplier said "sure, no problem" and he even gave it to me at no cost, as a gift, on account of our other business. So he had it built and gave it to me in hand in one of his visits. And when they installed it in the lab it blew a fuse. After some investigation and calculation it turned out it was badly "designed" and the core saturated. It turns out the original core, of the same dimensions, was made of
Grain-oriented electrical steel which has substantially more flux density while the replacement was made with cheaper, regular, laminations. The lab guy did not think to check and the supplier thought there was no need to check since we seemed so clear in what we wanted.