No advice... You're between a rock and a hard place. Solutions are bigger drill press, mini drill stand (Dremel or Sears (in Mexico?)) or Gee, you already know all the options I could think of. This is a wasted post Larry
There is a possible one time solution but I bet you will encounter this
situation again...again...again
Another local woodworker, Machine shop.
Be desperate and go to a store, request to test a drill press with a bigger
throat than you have.
OK, I'm being less than serious.