Not many heirloom aspargus varieties, I'm afraid. The "wild" asparagus is most likely Martha Washington.

There will never be any problem planting different types together, as far as plant health is concerned. But, there may be differences in vigor, precocious, time of spring emergence and length of harvest between varieties. Therefore it would be best to keep varieties together, rather than mixing them all up. Putting them all in one patch, or part of the garden is just fine. If you have more than one heirloom variety, don't expect the progeny to breed true. Cross pollination with the other heirloom type can easily occur.

Rick

I thought I would add another note since you are new to asparagus, regarding planting asparagus crowns. This, because a friend of mine who is a neophyte gardener, planted the upside-down!

Asparagus roots are different looking than most root structures, and can throw a new gardener a curve ball. Where the roots come togeter - that is the top (the crown). Where the roots splay apart - that is the bottom.

Rick