Hi, appraisals can be painful for those new and those doing this for a while and may not offer you the "help" I think you are asking for here.
When thinking of a great name you are always going to be a bit bias and what is "cool" is very subjective.
***Which is why you see those lottery ticket domain sales from time to time.***
But, before you get wrapped up the the technicals of name value...
Take your 2 names and write a sentence or 2 about why this is a great BUSINESS NAME and what is the niche focus. Who is the buyer, ecom, retail,insurance, etc.
If it is difficult to do, it may not be an easy name to sell. If you can easily, google that niche and you will have a list of potential buyers to email.
Does that make sense?