Tatuaje Cabaiguan natural not "Guapos" (a bit stronger)
Tobacco Baez by Don Pepin Garcia
Perdomo ESV (a bit stronger, definitely some pepper especially on the intro, but fantastic)
Perdomo Champagne
CAO Black (online only)
EPC New Wave
La Aurora 1495 (different, but lots of flavor and no pepper/spiciness)
For a non Connecticut-shade but still mild-medium cigar, check out the Epernay line by Illusione ... just fantastic!
Also, if you happen to find the Illusione Singulare Phantom, BUY THEM! Amazing cigars, one of the most flavorful milder cigars I've ever had (better than the Cohiba Behike, imvho). Seriously, frakin' awesome. One of my favorite LEs from 2010.
If you're ever tempted by the dark side (i.e. from an island south of Miami), the Hoyo de Monterrey line is excellent. The Epicure #1 or #2 would be right up your alley!