Yes, any homeowner or builder is allowed to submit the application and manage the build without being a LEED AP (Accredited Professional), or even having a LEED AP on your design team. You could receive a point towards certification by having an AP on your design team, but it isn't mandatory. Here is a page to get you started -
What you need to do first is contact a LEED provider in your region, it is with them that you will make your submission and they will perform a preliminary rating to see if how your design would score. This step allows you to see where your design falls on the point scale, and to see if changes are necessary to help you meet your own targeted goal.
Below are some pages that may be of value depending on how familiar you already are with the rating system. We built the first LEED v4 Platinum house in Canada a few years ago (linked below); in there you can find your way to the video guide we created following its construction, that may be of value to you as well. Also check out the following pages, best of luck!
We don’t currently have plans we can offer unfortunately. There are Passive House and LEED certified prefab kit homes available that may meet your needs, other than that we would recommend you look through our building guide pages to learn high performance building techniques.
An ‘Eco Home’ could take many different forms, but they would share a few common threads. You could therefore look at home plans online for inspiration, then once you have a general design you find appealing, you could then green home building techniques to that design. We would recommend you first start with determining exactly how much space you need. In general, smaller homes use less resources and less energy than large ones, so the smaller you can build the better.
Here is link to our Green Home Building Guide, the Ecohome planning and design page is a great place to start, and as you get further into you planning please feel free to check back with us and post a more specific question in our advice column and maybe we can help guide you further.