Xeviat
Dungeon Mistress, she/her
This has actually been a consideration of mine. Change "favored enemy" to a mark that gives you advantage on Search and Study checks against it, and then have "Hunter's Shot" spells for neat attacks.or rework Favored foe's bonus HM to smite like ability.
Once on your turn you can spend a usage of HM to deal extra +2d8 Acid, Cold, Fire, Lightning, Poison or Thunder damage when you hit a target with weapon or unarmed attack.
13th level: +3d6 damage
17th level: you have advantage on attack vs damaged target until the end of your next turn.
20th level: +1d6 damage on every attack.
I crunched the numbers, and this ended up feeling balanced against smite:
Hunter's Shot
Once per turn, when you make an attack against your favored enemy, you can expend a spell slot to make a Hunter's Shot. Your next attack roll against the target is made with advantage, and if it hits it deals an additional +1d6 force damage, +1d6 per level of the spell slot expended.
Divine Smite is +2d8 (9) damage, no chance of missing since you declare after you hit.
Hunter's shot off a longbow attack (75% chance to hit with the archery fighting style), is:
Base Longbow: 1d8+3, 75% hit (5% crit), average damage 5.85
with Hunter's Shot: 1d8+2d6+3, 93.75% hit with advantage (9.75% crit), average damage 14.715 (gain of 8.865)