

Yes, convert that lawn! Two plants worth considering are Prunus persica ‘Kernechter vom Vorgebirge’ and Amelanchier × lamarckii. I’ve heard great things about them, but they were growing in SW Germany, so do your own research first. What do you use for a ground cover? Clover can be a valuable ally in the fight against the grass.
Is there no chestnut blight in your area?