I just want to note that there are some differences between different permium models of Bernabe guitars ( i.e. I have the Especial, cedar ).
But appart from that there is also a common sound between Bernabe guitars, due to their construction, that of course preserves many things in common. My teacher has a 30 year-old Bernabe guitar, spruce, and stated that they sound (his vs mine) very much alike, just a small difference at the trebles; His own is a bit more brighth / but misses a bit of roundness in comparison at the as he described - well that's a general spruce vs cedar difference.
To my bernabe now, I haven't found any set as good as the Bernabe strings for this guitar - and that is by far! Moreover, this is one of the few guitars where i did not like the sound of the EJ45FF strings ( a set that fits perfect almost all my classical guitars ). Actually, I did not like any medium tension set ! - so I have assumed that there is a somewhat higher tension needed. ( note that bernabe strings are medium-high tension ). And also, I found the EJ46FF basses that I tried, too hard - so I did not even tried the high tension trebles of that set.. I also find the Bernabe basses, in comparison, much better in quality and feel.
Although I am very satisfied, I understand you may find Bernabe strings too bright as you have spruce, but, as mentioned in another post, give them sometime to settle in.. And a silly detail just in case, be sure that you do a good job with very fine sandpaper ( 8000 or 12000 ) on your nails.
Finally, my teacher uses (for a very long time) Hannabach, with non-carbon trebles. Don't know which set exactly - I think some of the popular ones. You might wanted to try some of those set(s) also as you have spruce top as well - If you do put an update here please!
Last but not least, since Bernabe strings are expensive, let me note that I keep the trebles for a very long time, changing only the basses i.e. every 1 or 2 months. You can even change the direction of the D string at it's midlife so to preserve a bit the marks from the frets, so finally the expense is not that much