This is the anchor light I used. It works pretty well and includes base and everything. Plenty bright.
http://www.ebay.com/itm/281892101332?_trksid=p2060353.m2749.l2649&ssPageName=STRK%3AMEBIDX%3AITOn amazon there are several options for the volt meter and different outlets with that backing plate. I opted for red volt meter so it doesn't mess with my night vision. A little hard to see in daylight, but doable. You don't have to use that backing plate either, but I did for aesthetics. In theory you could cut a large opening, run wires then just mount the plate, but I wanted to to be solider and so I used the plate as a template, cut 3 holes and tightened each outlet individually so they won't pull out or flex at all. The downside to that is reaching them from the front compartment since I mounted these for the rear seat.
I thought about running LED's inside the kayak as well, because that would be super cool! But yes, that many LED's will draw quite a bit of power. Another idea I have thought about for that is to use a few bright bulbs that will light up a larger area instead of a strip of many. I have a couple of these, and when you take the lens off and just leave the surface mounted single LED lit,,,,, it is SUPER bright in a full circle. Mounting 2 or 3 of them in the right locations would likely light up the entire inside of the kayak. They do draw more per bulb, but overall it is MUCH less than a long strip.
http://www.ebay.com/itm/BLACK-CREE-U5-LED-MOTORCYCLE-SPOT-DRIVING-FOG-LIGHT-FOR-BMW-Spotlight-125W-12V-/400957147372?hash=item5d5ae888ec