Apparently Jesus thought there were some good people around, for He said:
"That ye may be the children of your Father which is in heaven: for he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust." - Matthew 5:45 KJV
And again:
"A good man out of the good treasure of the heart brigeth forth good things" - Matthew 12:35 KJV
There are lots and lots more. Just do a quick perusal for the word "good" used to describe people in the Bible.
I think what is problematic here is that you are defining "good" in only one way, making the Bible seem contradictory. If Jesus says none are good but God, and yet also talks about good people (see the above quotes), it appears problematic.
In fact, these passages are not problematic or contradictory at all. It's just you have to dig deeper than the basic English, which is notoriously problematic for translating the Greek. One helpful resource in this endeavor is the Amplified Bible, since it will explain further what the Greek actually means.
In the passages quoted above, no further explanation was necessary. "Good" meant what it generally does in everyday English- decent, nice, kind, unselfish, seeking after what is just and right, etc. In the passage:
"Why callest thou me good? There is none good but one, that is, God: but if thou wilt eneter into life, keep the commandments." - Matthew 19:17 KJV
Good does not mean the usual connotation of nice, decent, etc. here. It means good as the essence of being, perfectly and completely and wholly and essentially good.
From the Amplified:
"Why do you ask Me about the perfectly and essentially good? There is only One Who is good [perfectly and essentially]- God. If you would enter into the Life, you must continually keep the commandments." - Matthew 19:17 Amplified
So you see, there are good people. And yet they are not good in the way that Jesus describes in the particular passage of Matthew 19:17, because there He did not mean good in the normal connotation in English. In most of the uses of the word "good" in the Bible, it means something akin to righteous, decent, kind, following the right path, etc. However, in the particular phrase of Matthew 19:17, "good" means good as the essence of what something is. Only God is good as His very essence. The rest of us, even if we are good in the usual sense, are still impure.
I think these passages and the exploration into the meaning of the Greek shows why it is really important, when interpreting the Bible, to study diligently, using all the resources we have to understand the original context and language of the scripture. English is a problematic language for many passages compared to Greek and Aramaic, and these problems are easy to run into. Fortunately, God gives us the Spirit to guide us spiritually, and our fantastic brains (and Biblical scholars) to produce works that can help us understand the history, culture, and languages of the Bible.
Hopefully this is helpful for you, Silas.