I see Hodgdon only lists 7977 with the 300 wsm in the 200 grain and up bullet weights so that may be a non-starter for you if you want to shoot lighter bullets.
They also list only 250 grain bullet and up data for the 338 win mag so that again may be a non-starter for you depending on what you have in mind for bullet weight.
Velocities look to be very similar for 7828 in those calibers.
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