D&D 5E - Strength bows?

You could merely create a new Weapon Property specific to the longbow whcih is the antithesis of Finesse:

Might. When making an attack with a might weapon, you use your choice of your Strength or Dexterity modifier for the attack and damage rolls. You must use the same modifier for both rolls.

Keep an eye on it (limit it to longbows to start), and if it doesn't throw things out of whack, maybe branch out to heavy crossbows (stronger gears,pulleys,etc). Would help mitigate the "Dex/Finesse fighter is king of D&D now" thing going on a bit.

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