with no map sensor you are running at 100kpa or 0psi all the time. On idle it will be very rich and as it goes into boost it will be lean, that is why it sounds bad.
The stock 1jz map sensor is a 2bar absolute unit so will read up to 1bar of boost. AFAIK you could actually use any 2 bar MAP as there are 3 wires on them, power, ground and 0-5v signal. I don't know part numbers but do a search and it may come up.
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