I put D'Addario ETB92 Tapes (50-105 gauge) on my Breedlove fretless; to be safe on the first try, I took the silks off of the ball ends (very carefully, with a sharp dental probe & fingernails). But I'm pretty sure those silks would have fit, which I'll try next time.
My Breed has the pinless bridge with the string holes, does yours? Mine had the same strings as yours when purchased, and the Tapes haven't given me any trouble... Did you try bending the strings (gently!) at both ends to help them through the holes? Otherwise, I dunno- the only Tapes I saw of smaller gauge would be those used in the BSO "6-string" set (the 5-string set + extra, smaller string), and I believe Jason would put together a set for you of the smaller strings IF they'll work when tuned normal, I don't know, but I'll bet he does...
Yeah, I'm OG! (That does mean "Old Guy," right?)