Hi Jiouxleigh and welcome to the forum 🙂
Back when I first strated growing mushrooms it was with sawdust from cut logs or sawmills, but (following traditional growing advice) I would always heat sterlise it in a pressure cooker at 120C. I believe this advice is given because people usually add nitrogen rich supplements like rice bran to the sawdust and these tend to contaminate easily unless thoroughly sterilised.
Since then I have only used the sawdust pellets, but I have heard from other amateur growers that they’ve successfully used plain sawdust which has just been pasteurised in hot water at 65-80C for an hour. I would have thought that the lime bath method would also work fine.
In short, I think it’s worth a go – especially as you have the sawdust available.