I have owned Weatherby rifles in the past, the last one being a 257-Weatherby Accumark. I always thought the Weatherby Deluxe and Accumark were too heavy also.
I recommend looking at the Weatherby Ultra-Lite rifle chambered in 270-Weatherby, since you already have 270-Weatherby ammo. Weatherby chambers the Ultra-Lite in several caliber including 7mm & 300-Weatherby.
Good Luck