All other types are either pigmented or have scales. -- process of elimination
I believe the biopsy description of "small basophillic cells forming tumor islands" is describing the peripheral palisading that is classically seen in Basal cell carcinoma.
'round, semitransparent nodules'
FA2019 p.473 says BCCs are waxy, pink, pearly nodules
Anything upper lip + above → basal cell carcinoma
Anything lower lip → Squamous cell carcinoma
FA 2019 -pg 473