I attempted this a few years back. TX would do an easy comity application with the Canadian provinces but with a catch: it was a temporary license meant to be used on a project by project basis so long as I did not have work authorization in the US (NAFTA, Green card etc). That didn't work for me as I was seeking a permanent license. I'm not sure that there's any great benefit to pursuing EIT status in the US. I'd just start chipping away on your US PE. And a great place to start that is by building yourself an NCEES record which will, in time, include:
1) Equivalency evaluation of your Canadian education (I assume). Ideally via the Washington Accord rather than an expensive, case by case evaluation.
2) Record of your having passed the Fundamentals of Engineering exam.
3) Record of your having passed the PE exam when the time comes.
4) Your work history and references.
Working the US, you often need licensure in a lot of states. So best to get it done by the book per the usual US process I feel. The NCEES record facilitates that by helping you to build what, effectively, becomes a living comity application that you can use all of the US (and some provinces). That, particular given how early in your career and licensing journey you are.