Re: Introducing package bees near "wild" bees..
Hi Dan, you raise a very good point about not wanting to introduce anything undesireable to the bees in your tree. There is some evidence that bees in an area, will sometimes develop a sustainable relationship with the mites in that area. The other possibility is that not all is as it seems, the hive could have died out & been replaced by new bees any number of times.
In any case, some caution about what you bring in is to be commended.
If you go the swarm trap route, doing it in such a way it will work is the key and there is a lot of information on this site if you search for it. It is incorrect bees have to find the site 2 weeks before they swarm, they don't look for a new nesting site until after they swarm. You could in theory, get a swarm move into your trap just a day or two after you put it out, long as there is a suitable swarm in the area at the time.
However the offer from QueenKing is invaluable you must take it. Not only will you get local bees but some practicle guidance actually doing it with someone, is worth untold amounts of reading, or even more.
"We don't need no education" (Pink Floyd) - Yes you do, you just used a double negative.