I know of someone who is married and another who was in a long term relationship and seemed much more together than some people.
OP the relationships boards are frequented by lots of people projecting their own bad relationship experiences, just be mindful of that. I don't think it is the right place to ask. Maybe carer forums would be better.
You do need to know that the future isn't always going to be plain sailing though. Work is extremely difficult for those with Schizophrenia and there are relapses (sometimes even on meds) and each one isn't the same. I have seen some people completely change and not be able to do much for themselves at all. You have to be in the relationship for the right reasons and be willing to support the person through hard times, even if they are suspicious of you and not necessarily pleasant and thankful towards you whilst they are ill. You really do need to love this person unconditionally during this time. They may also be extremely vulnerable, but not necessarily take good advice.
I'm a carer to my child with severe learning disabilities. Your world does get small with severe disability. You will be this person's carer when they need you to take on that role. It is a very big job. Having said that, people can manage to do what the average person does if the medication works well.
I would gauge how they manage their illness and how responsible they feel for their own well being and managing it. They would be forthright in telling you what the early warning signs were in getting unwell. The people I saw who seemed to manage their illness the best had a good support network and appreciated what the medication did for them and didn't feel hard done by about what it took from them. They had accepted their illness and took responsibility for managing it.
Also I have seen schizophrenia passed down generations (although sometimes it is bipolar or other MH issues, not schizophrenia), so if you want kids then that is something to consider.