Nice boat. DO NOT GET A TANDEM! What is he thinking? These trailers come with surge hydraulic brakes. And, these comps are extremely light! Granted mine is full composite vs you wood stringer boat, but yours doesn't weight much more! Our tow vehicle is a 2007 Suburban 1500 w/5.3L. Our brakes do not work on the trailer and really, you barely notice the boat is there. I would be amazed if the boat weighed more than 2,500 lbs... We do have a tandem axle trailer for our 1989 CC Martinique. That is a 3,500 lb boat with a a roughly 1,500 lb trailer. You really notice that it is behind you. The brakes also do not work on that either but you just take it easy, towing is no problem. One thing for sure is:

1.) Tandem axle trailer SUCK for backing up. The tires start skidding and they don't like to turn. Single axle trailers back up really easy.
2.) Thats 4 tires vs 2 tires that you have to replace and keep in check. 4 bearing vs 2 bearings you have to keep in check.
3.) On the highway 70 with our Supra is just fine, but not over. With our tandem for the CC, 75 mph all day straight and true.

Really I wish our 1989 CC came with a single axle like 1988 and older ones did as they are much easier to deal with than the tandems... (Have experience with 4 other CC Martinique's and all but ours have single axle. Big difference btwn single and dual...)

Sorry about that, but seriously. Keep the single, especially for a wee little ski boat!

And also, good luck with the stringers. But seriously, if its all apart right now, why not tear it all out and do it fresh? I mean no weak spliced in joints to worry about plus you can super seal everything to ensure it will go decades being just fine. (Water still seeps through fiberglass though!)