It's not the diameter of the bore that's a problem, so much as the axial alignment of the cap.
No matter what you do, in order to fix it correctly, you're going to have to pull the head.
Viewing this as an opportunity you might:
1)Find a good used 'J' model head and reap the benefit of larger valves. AFAIK, no machine shop work required but it will require some modifications and additional parts. APEJay should chime in here and tell you what you'll need
2)Find a good used cap, remove valves, install with new bearings on that cam, as close to zero clearance as you can get, torque both caps down evenly with the cam in place but without the guide pins on the replacement cap, take it to the machine shop and bore some holes for alternative guide pins. Put it back together with these 'new' pins leaving the old ones out. Use bearings that give the proper clearance. You may need to have your camshaft ground.
This will give you the opportunity to check your valve springs, valve guides, replace the guide seals, and lap the valves if they need it. Something you should probably do anyway while you have the head off.
3)Find a good used, or rebuilt 'matching' head.
Personally, I would go with option '1'.
-Duck