My Lancair has oddball tire sizes so I carry a spare tube with me when I fly. I know Lancair pilots who carry an entire wheel as a spare! Personally, I'm not that anal.
Have you pulled the tube and identified the leak point. If it were me, I would go to a hardware store or auto parts store and buy a patch kit for $4. Tubes were patched this way on cars for decades before radials became the norm. Would be good enough to get you home.