True flite make .311" barrels but by time the you have it fitted you will be out the price of a good second hand .308 which is a better subsonic calibre,
Most .303's are not suitable for cast bullets at any speed generally the barrels are well worn and pitted, lead bullets don't mind worn barrels
but they hate pitted ones, your barrel sounds like it is over sized most of them are, the spec's are for a .304"/ .313" barrel most are .304"/.314" or bigger,
What diameter are the lead bullets you have tried? Robert.
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