If the pockets can not be cut much deeper, use a less lifting cam.
I used Action Fours SS1 cam in the 80's with ported head, 34 mm in valves. 836cc
The lift is 0.360". @ zero lash.
If you can find one. It works fine.
I have found the hard way that higher lifting cams and K valves with a tall waist (groove) for keepers need sunken guides. If not, it will drink oil when in valve's keeper waist dip inside the guide seal.
The head I used in the 80's did not have need of sunken guides since it used F2 34 mm valves with high sitting groove for keepers.
F2 original valves have very soft valve stems, mushrooming very quickly.
If head is not ported, the valves need to be open longer.
Maybe Kenny Harmon D cam?
I remember all CB750's with D cam back in the 80's had no chance against my bike with the SS1 cam. Maybe not ported as mine.
A little bit more lift and less overlap keeping the dynamic compression.
So it is not strange that most Webcam cams have relatively low lift. To fit a head with not sunken guides.
I have heard from a guy that used F2 pistons with K head that something hit. Maybe valves and pistons only

Investigation before order can be good.