I love them both so much. They are both so beautiful in different ways. They are my two favorite parks. I love the theming at AK - and AK has four great rides in my opinion: EE, Safaris, Dinosaur, and Whirlsomething... Plus of course you get the amazing Oasis, terrific shopping, and wonderful shows. I just like being there - and now with Tusker House open again and Yak and Yetis, the food is great too. But then Epcot is also beautiful and has good rides, though I don't care for Future World very much with the exception of the rides. I do love the World Showcase.
So - imho the best idea is to go to AK - get there for rope drop, ride the rides, see a show and a few tigers and gorillas, and then about 3 pm scoot over to Epcot for the late evening in WS and Illuminations. Don't worry about the parade in AK - it doesn't compare with those at MK. So why not do both your options? Oh, and if you take a taxi from AK to the Beach Club, you can save yourself some time and just walk over to the International Entrance to Epcot right at WS.....