Co planting with hazelnuts, beans or peas?

This is our first year at our property. Between what we moved and some buying, I now have a dozen mid sized hazelnuts. There was time in the fall to prep planting spots so they all have good surrounds with tons of leaf mold and wood chips.
Due to how much there is to deal with on the property, there is not a ton of space ready this year for annual food crops so I'm trying to mix as many things in with permanent stuff as possible.
The sizes of the hazels look like they should be able to make decent supports for pole beans or peas and I like the idea of giving them a nitrogen fixing friend for this first year.
Is there any reason that this would be bad for either of them? Of course, the hazels are higher value than the peas/beans so they are the primary concern.

I plant beans and peas everywhere I plant anything.
They cost almost nothing.
The words case scenario is I have to chop and drop them because their neibors are suffering and  that in my opion, is the perfect complement to woody mulch.

I guess they could promot fungal disease if they really restricted airflow, but again. I'm a big fan of annuals among the perennials and legumes on particular.

I put beans in with a chunk of my hazelnut plantings as well as with my kiwi and grapes.
All seem to be taking fairly well but there was a huge, unexpected bonus.
It seems that the beans are a bit more attractive to the Japanese beetles we have around here than my new trees and shrubs!
So far, they are not showing up in huge numbers and attack the beans first so I have mostly been able to keep up on killing them by hand.
Having the leaf stripping damage happen to cheap annuals like the beans is so much better than adding stress to my struggling, valuable nuts. So far, the only thing they find tastier than the beans are the grapes, but at least those are vigorous enough for it not to be too much of a problem.

I have more trees to add next year and I will make sure everyone gets a bean friend or two!

I have family that are commercial growers in southern Illinois of corn and soybeans.  In some of their fields are some big pecan trees.  The trees (unfortunately) were planted at the bottoms.  And since fruit and trees need some drying stress to produce these don’t much.
My family only sows at the edges of the trees.  A number of times when they have supplemented their ground with nitrogen they have added it under neither the trees, too.  They did not see any improvement.  Only when adding zinc.