Need a small piece of Teak
For a laminated tiller, the pros at H&L Marine woodwork (who seem to supply most boating supply retailers with standard model tillers for popular boats, and will do custom jobs as well) use a combination of ash and mahogany (ash is what they make baseball bats out of; very strong and resistant to bending). A laminated tiller won''t match your brightwork, but it will have a distinctive and functional look to it. Plus, as Chad points out, it will be less likely to break on you when you''re overpowered.
H&L is in Rancho Dominguez.