I use a 2X raise in certain tournaments, but only at certain times. Most everybody should have near the 10-20BB amount (with maybe a big stack or two). If you are the low stack, just shove or fold.
You need to guess what villains will call, fold, and raise with when you 2X raise. Callers will likely have near the range you suggested, so I wouldn't want these in my 2X raise range. You want
hands that you can easily call an all in or over bet, or hands that will be easy to fold to raises.
In ep-mp, my 2X/call (or shove to raise) hands might be QQ+ and AK+ at this point in a tourney. My fold to raise hands might include 66-88, suited Ax, and maybe KTs+. I would open shove hands like 99-JJ and AJ+ for fold
equity, knowing when I get called I am likely flipping at best.
I usually wait until final couple tables to start a 2X open strategy. But with any strategy, you need a plan for whatever your villain does. What would you do with your range when the Button raises it to 5X? Are you willing to drop another chunk of your stack out of position to a player that might already have you dominated?