Remember, when you rectify line, the output DC voltage will be Vrms * 1.414 = 170VDC. Consider using several 'LED strings'. Each 'LED string' consists of 10 (or so) LEDs. Assuming your LEDs are regular 20mA LEDs, you just multiply the total number of LED strings by 20mA and choose a film capacitor to pass that much current.
Example:
30 LEDs = 3 parallel strands X 10 LEDs in series
ICap = 3 parallel strands X 20mA = 60mA
C = I / (2*pi*f*V) = 0.06/(2*pi*60*120) = 1.3uF
Digi-Key sells a 1.5 uF film capacitor for less than $0.80 rated at 250, which would work great for this application. The Digi-Key part number is BC1776-ND
Connect Line to one side of the 1.5uF capacitor, connect the other side of the capacitor to one pin of the AC side of a full-wave bridge rectifier, connect a filter capacitor (electrolytic capacitor rated around 50-60VDC) across the DC side of the full-wave bridge rectifier (remember to observe polarity), connect your 'LED strings' across the filter capacitor, and, finally, connect Common to the other pin of the AC side of the full-wave bridge rectifier.