Thank you for your question! Universal height is going to be 14 1/2 inches for the bowl height, then the toilet seat will add an inch. Comfort Height or ADA Complient is going to be 16 1/2 inches for the bowl height, then toilet seat will add an inch as well. Give me a call if there is anything else that I can do for you!
Based on the measurements you gave, you will have a little more than 5 inches of room to take the lid off and work with. While we cannot gaurantee that that will be enough room to work with, we also cannot say that it will not.
This is a 12" rough in. here is the spec sheet for the toilet.