Just to clarify, problem sounds like you dropped a valve which damaged cam/piston? You need to have dealer find all the "missing" parts and/or they will need to flush the oil lines to the front oil cooler.
New (not rebuilt) 2ZZ short block is about $1600 (US), new 2ZZ head/valves/cams about $600 (US), I'd recommend you replace the stock valves and valve springs with something better (like SuperTech). Sounds like you'll need to pay for labor install also, so factor those hourly rates in (on a good day I can swap a motor in about 4 hours by myself, probably less now and NA is even easier). Also replace the stock oil pan with a Moroso or equivalent oil pan -- if you plan to track the car more.
You're just one of many many many folks that have had this problem with valves in a stock 2ZZ motor -- makes no difference if it's NA or FI.
On engine #2 (I'm on engine #3 right now with engine #4 in the planning stages), I dropped a valve on the street at 7900 rpm just accelerating straight. This failure prompted me to get in contact with Toyota - 7800 rpm is the rev limit for the 2ZZ on stock internals, don't know where Lotus got 8500 rpm from -- perhaps because the motor used to have a rev limit of 8400 rpm in earlier years until numerous valve problems were reported (and the irony is that Toyota could make the same amount of power out of the motor running to 7800 rpm as they could running it to 8400 rpm).
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