Let me warn you, cheating is addictive!
I first got into E-Bikes helping my Dad build something for him to ride after a bicycle accident left him with much less ability to ride at all, and then I got a decent Nishiki MTB and realized I was faster than he was with a cheap bike with a motor.
Then I started thinking "I'll just get a light one for going up hills" we have a pretty long big hill here in Oregon City. But then I started enjoying doubling my speed up-hill and I was hooked!
I still get a great work-out and get where ever I am going sweaty because I just love pushing that top speed. The only difference is I have a much longer comfortable range, and going up and down the hill (it's almost 3 miles long varying from 3 - 7% grade) 2-3 times a day wasn't seeming impossible anymore.
My poor car has suffered though, I haven't driven it in months, and since I gotta support my E-Bike battery habit, getting the car running right has become a secondary objective.
Back to the subject, he he I think you would find a design of a push trailer someone has built here adaptable to your purpose, there are several ways to accomplish the task at hand, and I agree with DM, use one of your existing bikes and put a geared hub motor if your wanting light with more of a pedal assist, or if you want the ultimate in ease of use, a DD (direct drive) motor with a 48 volt 15AH+ battery since your hauling a trailer.
Just remember, hills are the biggest controlling factor, if you have any major hills to take on while using your trailer, don't go with the bare minimum or you'll just end up with a bike that was just a couple hundred less to build but over-heats, kills batteries quicker or worse.
Edit: I forgot to mention, your doing this to haul what ... 80+ pounds of canoe & gear? I wouldn't convert anything less a bike with decent disc breaks, even if your not going to plan on no more than 15 - 20 MPH, with all that extra weight your going to need them, not to mention your going to be stopping a bike that is heavy (average another 30-50 lbs of E-Bike stuff) by it's self.