Not sure what the hypothetical archery maximum is, but let's go ahead and do a little bit of guessing.
Galadriel with
Elven Bow,
The Splendor of Their Banners, and all of the above listed vitality boosts gets you eight archery.
Legolas is naturally an archer. It's
Legolas, Nimble Warrior, so you added a threat for an extra archery point. Let's presume you also get
Rumil, Brother of Haldir to activate. And you are at a forest, so
Orophin, Brother of Haldir activates as well. That's 12.
You have three more Elven Bows you can dish out to various Elven companions. You also might have four copies of
Double Shot in hand. So that's 19.
Elven Marksmanship has a heavy cost, but if you have four of those in play, that's eight more archery. That's 27.
If you had an improbable hand also contained four copies of
Mirkwood Bowman, you could potentially get an additional 12 archery from that. That's 39.
That's before even mentioning Aragorn with
Aragorn's Bow, Faramir with
Faramir's Bow, and four copies of
Gondor Bowmen. That's 48.
Your opponent played
Gothmog, Morgul Leader so you are up to 51.
Of course, he also had a mounted
Man and
Line of Defense in play, so all of those arrows hit Gothmog and your worn-out and exhausted companions have to deal with
Mumak Commander on
Mumak and
Desert Lord with
Seasoned Leader.
-wtk