Or, You can do things differently.
1. Travel to Singapore first. Establish a quick travel history.
2. Use this to Travel to New Zealand for a week.
3. Travel to Australia for a week.
4. Now apply U.S visa with a return ticket. But don't travel to U.S actually.Just get the visa stamped on your passport.
5. Apply Canada visa under CAN+ program. Have your visa done in 20 days.
You can do all this, after getting the BAN removed first.