Eat your Wheaties and get a Garand. Lol
Seriously though, the BAR is the way to go, they are not that heavy. I recall they used to make a lightweight. They are also dead nutz reliable.
My uncle and his wife only used the Browning BAR for years. They loved them. He used a 338WM and she a 270 win. They never had any problems with function or accuracy.