#1
What are the cheapest guitars with no laminate in their making.. I'm not sure if i've ever seen one in my life.
#2
The absolute cheapest I've seen are Silvercreek.

http://guitars.musiciansfriend.com/product/Silver-Creek-D160-Solid-SpruceMahogany-Dreadnought-Acoustic-Guitar-?sku=512725

I haven't ever seen one in person, much less played one, so I cannot comment on how they sound, look, feel, their quality, etc. I have heard other forum members speak pretty well of them though.

The next cheapest that I know of are the Epiphone Masterbilt series:

http://www.musiciansfriend.com/navigation?q=epiphone+masterbilt&st=

Now these guitars I have seen and played tons. I actually own one with solid maple back and sides (they discontinued this one last year). These are great guitars all around. Can't beat them for the money.