I think it's an interesting dance that clinical psychology programs do with applicants.
I'm certainly aware that a very large majority of clinical psychology graduates intend to practice (many exclusively) as clinicians after they graduate, and doctoral programs know this. However, you can't get into (at least, funded PhD) programs saying, "I don't want to do research." My understanding is that you frequently have to demonstrate some track record of research productivity prior to acceptance, and that you have to otherwise demonstrate that you at least value research (e.g., the scientist-practicioner model). Saying you "don't like research" isn't the way to get into a quality PhD program. Not saying that the OP is saying this, but it could be.
I think many programs are okay with someone saying they don't want a career in research, as long as they understand its (an important) part of the training. I return to my example above...if I had walked into my (extremely research-heavy lab in a research-heavy clinical science program) saying I didn't ever want to see a client or engage in any sort of clinical work during graduate school, I don't think I think my chances of acceptance would be very good! Its an important and valuable part of the training experience. That would show a laughable misunderstanding of what a clinical psychologist is, and I don't view it any differently than someone saying they want the practice without the research (which sadly, despite the stereotype of the out-of-touch academic, seems to be more the reality based on what we see on this board).
I think individuals with research experience who are open to integrating research (any any good or even mediocre psychologist should be), and willing to receive a full spectrum of training should be able to find an appropriate program. It won't be Wisconsin-Madison, but there are loads of programs that don't expect people to become researchers.