it's not rocket science, most any *good* arrow can get the job done, the toughest nut to crack is the bowhunter's shooting and hunting skills.
a synthetic arrow will be easiest to build, be the most durable in the field, and easiest get to fly well. my choice would be a 27.5" beman ics bowhunter 500 carbon shaft (yeah, the cheap ones), whatever push-in nock, 5" to 5.5" 3-fletch with goodly helical, an alum insert (20 grains) and steel adapter (75 to 125 grains), and the razor sharp twin/tri/quad cut-on-contact broadhead (125 to 250 grains) of yer choice. adjust weight of the adapter and broadhead to create a final arrow total weight of at LEAST 10gpp (or more!) at yer bow holding weight. don't get hung up or concerned with foc/efoc/uefoc/lmnop, that's not all that important.
some will argue that a 500 spine carbon arrow is far too weak out of a 40-55# trad bow. specially with a lot of up front weight. nope, not true at all. the static and dynamic spine values of carbon arrows is very wide, which is why the manufacturers list a 20# spine range for most of their shaft offerings. most, if not all carbon arrows used are too stiff in spine and most archers would be better suited dropping down at least one carbon shaft spine range.
yep, i use the above arrow, but only at a 29" to 29.5" length. at 29" - and adjusting the insert, adapter and broadhead weights - it allows me to create an arrow total weight of between 380 grains and 585 grains. these dayze, mostly i'm using a 505 grain arrow (26% foc) out of a 47# holding weight longbow (nearly 11 gpp).
so ... add in yer good shooting abilities, and a critter within good arrow range ... and enjoy.