At first, I was thinking Fighter — it would let you focus on Strength and Constitution, and the Battlemaster archetype gives some nice tricks which would lend themselves nicely to the quarterstaff (along with Great Weapon Fighting, for higher damage with that weapon). But then I remember that the quarterstaff thing was Little John's schtick.

If that's what you meant anyway, definitely do look at Fighter, either with a Cleric multiclass (I guess Nature domain would be flavorful) or simply the Acolyte background. (Like many 5E classes, the goodies in the straight fighter class keep on coming every level.) The extra ability score increases let you pump up those physical ability scores and still have a respectable 13 or 14 Wisdom — or grab the Polearm Master feat.

Otherwise, following my refreshed memory of the character — try Barbarian. You don't need to go for the whole trope, but particularly Tuck had a reputation for a temper, and why not go for a class that plays that up? Plus, gives you an excuse to wear a friar's robes instead of armor without putting yourself at a great disadvantage.

Although "friar" is related to monasticism, the Monk class is clearly mostly related to Asian fighting-monk tropes, not European/British ones as in Robin Hood. I don't think Monk really best represents this character idea, and there's no good reason to be constrained by it.

At first, I was thinking Fighter — it would let you focus on Strength and Constitution, and the Battlemaster archetype gives some nice tricks which would lend themselves nicely to the quarterstaff (along with Great Weapon Fighting, for higher damage with that weapon). But then I remembered that the quarterstaff thing was Little John's schtick. Friar Tuck is actually generally portrayed as fighting with a sword.

If quarterstaff is what you meant anyway, definitely do look at Fighter, either with a Cleric multiclass (I guess Nature domain would be flavorful) or simply the Acolyte background. (Like many 5E classes, the goodies in the straight fighter class keep on coming every level.) The extra ability score increases let you pump up those physical ability scores and still have a respectable 13 or 14 Wisdom — or grab the Polearm Master feat.

Otherwise, following my refreshed memory of the character: try Barbarian. You don't need to go for the whole Barbarian trope, but Tuck had a reputation for a temper, and why not use a class that plays that up? Plus, gives you an excuse to wear a friar's robes instead of armor without putting yourself at a great disadvantage.