ldhair

Welcome to the NGC chat board.
    Anything that looks green on a clad quarter (or most other coins) is either residue of a foreign substance or a corrosion product, neither of which is desirable. (Some uncirculated copper and some silver coins may develop a greenish toning that can be attractive, but that's not what is going on here.)  Based on your photos, both of your circulated 1976 Bicentennial quarter appear to have been coated with glue and/or other foreign substances. (Soaking them in acetone might soften or remove this residue.)  Even without the residue, they would have no numismatic value. Over 809 million were struck, and millions were saved in uncirculated grades.     
     Only coins of significant value (at least several hundred dollars) are worth the cost of submitting to third-party grading services. Many still enjoy collecting lower value--and even higher value--coins in albums, hard plastic holders, or other appropriate holders.  Knowledgeable collectors can grade and otherwise evaluate coins without having them encapsulated in bulky grading service holders. Even for those who collect only certified coins, knowledge of grading is important.  For those who want to submit coins to grading services, it is essential.

1882 Shield nickel, PCGS graded MS 64:


Photos courtesy of Stacks Bowers Galleries.

I don't think the coin will grade no matter what is done to it. It's not an UNC. 

1915 Indian Head quarter eagle, purchased as a Choice AU in 1988 but now NGC graded MS 63:

1926 Quarter Eagle 

This is the coin that started this thread, 18 years ago.
 

If that’s a Chibi coin, and the OP truly has a ton of these, I have to ask, “Why?”, or maybe “Whiskey, Tango, Foxtrot”.

I agree, it's not cool to trash an active auction and it's been that way from the start of coin forums. Good people get hurt and it opens the door for other types of harassment. It's auction interference. 
Lets say you have an item listed at auction. It would not be fair to trash someone trying to sell the same item. 
Try going to a live auction in person. Stand up and tell everyone to not bid on an item. How long would it take for the auction company to boot you out the door? 
Go to a coin show and stick your nose in the middle of a dealer trying to sell a coin to a customer. That dealer is going to tell you to leave or have security make you leave.  
The OP came here to promote his coin club and the hobby. That's pretty cool in my book.

I agree, it's not cool to trash an active auction and it's been that way from the start of coin forums. Good people get hurt and it opens the door for other types of harassment. It's auction interference. 
Lets say you have an item listed at auction. It would not be fair to trash someone trying to sell the same item. 
Try going to a live auction in person. Stand up and tell everyone to not bid on an item. How long would it take for the auction company to boot you out the door? 
Go to a coin show and stick your nose in the middle of a dealer trying to sell a coin to a customer. That dealer is going to tell you to leave or have security make you leave.  
The OP came here to promote his coin club and the hobby. That's pretty cool in my book.

I stand corrected.
 

From the US Mint website. 
 

This is the coin that started this thread, 18 years ago.