It's hard to know what we are all talking about as a "bumblebee"; according to Wiki, there are approx. 250 species of them:
But, speaking as someone who is allergic both to bees *and* to the benzo alcohol family of chemical preservatives (yes, my face and sinuses swelled up after an injection of Benadryl b/c the preservative wasn't on the injection's label; I was lucky to have had such a limited reaction), carrying an EpiPen is out of the question for me:
--If I am stung by a bee / wasp / hornet / yellow jacket / etc., I will have an anaphylactic reaction.
--If the injection in 2002 had been of anything other than straight-out Benadryl (we were using it as a local anesthetic to biopsy a growth on my face), my dermatologist would have had an anaphylactic patient on her hands with *no way of knowing* why I had reacted: the preservative wasn't on the label!
And, yes, I *have had* such a reaction more than once to injections. The only element in common was the preservative, and it's the most common one.
So no EpiPen for me, either.
The bumblebees I've read about are ground-dwellers.
If I discovered a nest of bumblebees close to my back door--which is how DH, dogs, and I enter and leave the house and get to the carport--I would have to block the nest. First, though, I would wait until evening and try to create a similar set-up to lure the bumbles away from the door through attraction. I would give it a few days. But then, unfortunately, I would have to protect my own life and block the nest if it were still occupied.
Fortunately, the only bumblebee nest I've found here so far has been near the "back" fence. The back fence is 20 or so feet from the back door, and the bees' flight paths don't bring them near the door, so all of us are safe for the time being.
Sunset Zone 17, USDA Zone 9