This is not the same as hiring a tutor. I suppose its possible that you could find a retired or semi-retired academic who is interested in your work. That said, the usual course of action is for you to find a researcher to work for or with, and write your own paper with their advice (and their name on your paper so you can publish). I don't know what your field of study is, but the route you are suggesting doesn't sound like it will help you get grant funding in the future.
I think the problem you are having is related to the expense of running a research laboratory, and the way researchers are judged by their peers. I am not a researcher, but I have had a front row seat for my lab's struggle for research funding - so here is some perspective.
The cost of running a research lab can be huge. For instance, the cost for some types of microscopes can easily be 6 figures. And the yearly maintenance contract for a microscope can be 5 figures. And of course most labs employ lab technicians and/or post-docs. On top of this, research groups pay their university a percentage of some of their expenses - salaries and some purchases. For a "wet" lab, this is almost 50%. In other words, a researcher's time has to equal a lot of money.
So a lab has to get some grants, and researchers must have published research in order to get those grants. An experiment with negative results, even important and valuable negative results, generally cannot be published. So successful, accepted research is the indirect source of almost 100% of the funding of many labs. Sound like a crapshoot? Yes it is. Encourages bias? Ah hum mumble. Do researchers generally give into this bias? I think most of them try very hard not to.
The grants that a lab receives are peer reviewed - that is researchers are on each other's grant panels. Researchers cannot afford to be involved in a research project unless they can defend it. Research can be highly specialized, and this makes it difficult to defend against critics who are experts in something slightly different. Researchers I know always hope to get panel members who do very similar work - if not, they are likely to get turned down.
There is a lot of pressure put on researchers, and they value their time and reputation highly. Unless you can substantially contribute to funding a lab or have a project which the researcher really understands and believes in, they won't risk working for you. And there's no denying that there can be a status thing here - they would rather work with you then for you.
http://www.nature.com/jcbfm/journal/v30/n7/full/jcbfm201051a.html
http://acfnewsource.org.s60463.gridserver.com/science/negative_results.html