I am seeing a 3-yr MYGA at 4.10%. The company, Guggenheim Life Insurance, is rated A-
Where do you see 4.4%? Is that for lower-rated companies? How low are you willing to go rating-wise?
You get the better terms if you apply directly to them at https://www.gainbridge.life rather than through Blueprint Income (Gainbridge save on commissions paid to Blueprint to give you a better deal).
In fact I just applied for their 3-yr 4.4% MYGA today.