From what information I could find the Boyds Hardwood Gunstocks for the Remington 770 will fit a Remington 710. So the Boyds Hardwood Gunstocks at the link below should work for a Remington 710 in .243 Winchester.
https://www.opticsplanet.com/boyds-hardwood-gunstocks-prairie-hunter-remington-770-short-action-detachable-bo.html?_iv_parent-gun-model=remington-model-710,remington-model-770