If you're allowed to use variant human, take the Magic Initiate feat, choose Druid as the class, and take Shillelagh as one of your cantrip selections. Shillelagh lets you use your Wisdom Modifier for attack rolls with a Quarterstaff or similar weapon. (Note though this won't apply to your unarmed strikes unless your DM rules it that way.)

This also nets you one other Druid cantrip, and a first level Druid spell once per day. For Friar Tuck, may I suggest Goodberry to make Goodberry Wine.

Another thing to note, is that a Monk, while able to use Dex for Unarmed Strikes and Quarterstaff strikes, does not have to and may instead use Strength to hit and damge for both

If you're allowed to use variant human, take the Magic Initiate feat, choose Druid as the class, and take Shillelagh as one of your cantrip selections. Shillelagh lets you use your Wisdom Modifier for attack rolls with a Quarterstaff or similar weapon. (Note though this won't apply to your unarmed strikes unless your DM rules it that way.)

This also nets you one other Druid cantrip, and a first level Druid spell once per day. For Friar Tuck, may I suggest Goodberry to make Goodberry Wine.

Another thing to note, is that a Monk, while able to use Dex for Unarmed Strikes and Quarterstaff strikes, does not have to and may instead use Strength for both attack and damage rolls.

Keep in mind, this will leave you with lower AC than usual if you don't wear armour, and if you do wear armour you will lose out on your Martial Arts and Unarmoured Defense features.