I know on the pre-1965 quarters my local coin seller was asking $6.00 in well circulated condition when I went by this past Saturday.
List them as a no reserve, pure auction and let 'er rip. The market will determine their exact value for you.
For melt value, you're looking at what, 25x, 26x face? In that ballpark. You may get more I suppose. But I agree with Bannon, list em and let em go.
well numismedia says the price of a 1936 quarter is $7.48 and the 1899 dime is listed at $3 both of those prices are for G4 examples