The following is just my opinion:-
Best advice is visit to a bowyer, either professional or amateur. (Or at least talk to them).
(Don't make the mistake of thinking the professional is necessarily better! The amateur is less constrained by time considerations).
Don't buy off the interweb and do try before you buy.
I'm not after any commissions, but to give you an idea of what I do. I only make 'em for people who can take the trouble to visit and shoot a few bows, because people often don't actually know their real draw length or what is a suitable draw weight!
You'll have to check the regulation of the organisations you shoot with for their definition of
ELB. Most share common features like a minimum width to thickness limb ratio and obvious things like no cut away arrow pass (bow must not be narrower at the arrow pass ). Some allow some
recurve as long as it isn't evident when the bow is braced). Some organisations allow bamboo as a backing and some don't. It is a very good backing and gives a fast and long lasting bow.
Some insist on horn nocks but don't even understand the difference between horn, bone and antler!
Self bow vs laminate or backed bow?
Laminates are easier to make, but need to be made of suitable materials not just some random stuff that is lying about. My personal preference would be a simple backed bow (e.g 2 laminations) or a self Yew bow.
Unfortunately a self Yew bow will be more expensive and for your long draw a laminate is probably a better bet. The bow will also need to be fairly long (at least 6' , probably 74-76") for longevity.
In terms of performance I'd suggest Yew backed with Bamboo, Hickory, or Ash.
Ipe backed with Bamboo is also V good ( but Ipe is heavy and can benefit from a lighter core wood, e.g 3 laminations back, belly and core).
I'd advise against a self bow of woods other than Yew, Osage or maybe Elm as the performance will likely be mediocre.
As you are target shooting I'd suggest sticking to 40# draw weight as you will be shooting a lot of arrows. Having said that, you could go up to 45# if your bowyer is willing to reduce the weight by 5# if you find it too heavy. Not all bowyers will want to do this and reducing by more than 5-10# becomes a right pain.
I hope this has been some help.
Del