I ended up doing exactly the same thing a few years back, running a 35 spare in the stock location best tip I've heard twice now on this forum for Tundras.35” fits. gotta relocate or sledgehammer the guides. Mine is ¼”-½” from the shackles on both sides but it does fit.
Mounting tires anywhere else is a pain to deal with. Swingout bumpers are expensive and bed space is precious.
It’s worth the 10 minutes with a sledgehammer to keep it in the stock location.