It would get really long, but you could use a 5/16" collet:
http://www.elairecorp.com/makitaroutercollets.html
and an ER-16 extension:
https://www.timberwolftools.com/er16-collet-chuck-adaptor
(limited to 16,000 RPM)
Interesting that Sorotec goes so large on ER-16 collets. Maritool tops out at 0.4375":
https://www.maritool.com/Collets-ER-Collets-ER16-Collets/c21_56_61/index.html
(11.1125mm)