I have a 110BA and it's a heavy gun, then you gotta add the scope, rings, bipod, magazine, 5 rounds in the magand cup holder. If you're looking for a lighter rig, I think you'd be better off selling the 110BA and buying something else. Chances are if you start milling and hacking stuff off, you're not really gonna be happy and after a few frustrating weeks/months/years, you're gonna say f^&%$ it and sell it anyways. By then, you'll have gone far enough to dissuade people and could end up with a gun that's lost most of it's value.
Part of the reason to own one of these is just the crazy ass weight, size, length - it's so big it's almost comical (almost). I really like mine, but have zero ideas that I'm ever gonna carry it anywhere it's 4 ft long. Hell the case I have for it has wheels cus it's so heavy.
Having said all that - if you still want to try, the barrel is where most of the weight is - you could try shorter / lighter barrel, and if you like rub A535 you could drop the muzzle brake. I'm sure there's lighter butt stocks - that prs is somewhat heavy. The chassis has lots of aluminum, you could either change or hack the crap out of the stock.