That’s EXACTLY what I did and I wrote about it mere days after Basic Med was instituted:
generalaviationnews.com/2017/05/10/basicmed-one-pilots-story/
I do one other thing … every other year – OR less – I take the forms with me to my personal physician who includes it as part of the exam. In this way, I ‘push out’ the end date for four more years. As a side advantage, I’m proving to my insurance company that a doctor found me safe to operate a simple GA airplane. I just did my fourth exam using this strategy. Nothing says you HAVE to wait four years.