Welding an aluminum diesel tank is no big deal. I've welded plenty of them on our fire trucks. We purged them but, no nearly as totally as with a gasoline fuel tank which, we had almost none. Some of our fire trucks were poorly designed and shook those fuel tanks to pieces.
As for welding yours and a new crack appearing next to it, somethings amiss here. Unless your tank is poorly mounted which is putting undo stress on a particular area, a new crack should NOT appear, at least within the time frame you own it. But, it's been suggested that you weld it and then put a patch over the effected area, yep, that's maybe what I'd do.
Sure removing the tank is a pain in the a$$ but, do it once, do it right and be done with it and enjoy your coach without fear of dripping and messing up campsites, as well as your own home or where ever you store your coach.
Scott