I assume the existence of God a priori.
I am looking for an answer from a Catholic perspective.
According to the well respected Catholic theologian St. Thomas Aquinas faith is greater than hope in a number of ways:
Hopefully this is helpful to you. The question is difficult because faith and hope are closely connected and both are important.
A good definition of faith is found in Hebrews 11:
Hebrews 11:1 KJV
1 Now faith is the substance of things hoped for, the evidence of things not seen.
2 For by it the elders obtained a good report.
3 Through faith we understand that the worlds were framed by the word of God, so that things which are seen were not made of things which do appear.
6 But without faith it is impossible to please him: for he that cometh to God must believe that he is, and that he is a rewarder of them that diligently seek him.
So Faith is the reason upon which your hope is based.
You can HOPE that I will give you $100, but if I have told you that I will give you $100, and you trust me, then you can have FAITH that you will get it. (This is opposed to blind faith, which is really just hope, because there is no reason for the hope.)
So when the Bible says that it is impossible to please God without faith, it is stating that you must have more than just hope to please Him. You must know who He is, what He says, and actually trust Him!
So the answer would have to be that FAITH is much more valuable than HOPE, because it pleases God when you trust Him to be or do what He says he will be or do.