OK the best bet for a Jacobite restoration after Anne's death was a coup in 1714. In 1715 Europe was sick of war, James III had lost his greatest supporter and the Tories that would support him were out of power. So a deathbed coup (like the OTL half-assed attempt by the Tories) would be the easiest way to do so. I actually had a discussion on this five or so years ago, so here's the link (https://www.alternatehistory.com/forum/threads/princess-over-the-water.266798/). Oh BTW, Philippe II hated the Stuarts because he wasn't given an armchair when visiting Saint-Germaine while his father was (Philippe I was a Fils de France and Philippe II was merely a Petit-Fils de France, so he wasn't actually due such an honor and made a big deal out of it when even Louis XIV wouldn't have granted him one at Versailles). Incredibly petty but realistic for the Orleans.