Geez, 32 lumens is about enough for 50" in a dark room.
I'm not sure where you are getting your information from, but most of the LCD models have a bit lower noise. Larger models often have some of the best noise reduction. Short throw projectors are almost ALWAYS limited to a diagonal screen size of about 100".
If you truly want a quiet room, then you should remove the projector from the room altogether. Project from outside the room through glass. It's not terribly expensive to do this if the room is appropriate for it and all fan noise is removed.
I've heard the Panasonic LCD/Laser models and they aren't any quieter than their traditional lamp counterparts.
I've heard the Casio LCD/Laser models and they are obnoxiously loud.
Larger cases = larger fans = lower overall noise level
I don't get the acoustically transparent screens really unless you need very accurate speaker placement. You typically have some light loss and they do somewhat impact sound quality. But, a good AT screen should perform very well.
Unless the room is pitch black, you need about 80 lumens per square foot of screen space under normal florescent lighting to achieve about a 10:1 contrast ratio. So if your intent is to put out that large screen you want, which is almost 10' wide, and about 60 square feet, you are looking at nearly a 5,000 lumen projector for use in 'normal' lighting.
If the room is pitch dark, then I would look at home theater models which are actually designed around lower noise levels. They are dimmer, but can deliver better color, better resolution, better contrast, and lower noise for the money.
This list shows models which put out less than 22dB of noise...
They also have the brightness to fill the screen size you are considering in a darkened room.
The Sony HW40ES, which is a newer, and fairly popular model, has decent brightness to handle a bit more ambient light. But, the Panasonic AE8000 is a reputable model with a good price tag.
Redoing that list with short throw only models, the noise level jumps to a minimum of 27dB and you will want to carefully read the specifications to see if you can get an acceptable image size.
There is no world in which I would use a projector with less than 1,000 lumens, and I would be looking more in the 2,000+ lumen range.
This short throw model jumps out at me...
Good brightness, low noise, can handle a larger image size.
Still, it's DLP in the business class, so color light output is likely far, FAR lower than what is advertised. Likely just 1,000 lumens or less.