I'm a bit late to the party, but one thing to consider is your standard or itemized deductions. If you're MFJ, you can take a $25,100 standard deduction, add it to the $81,050 top of the 12% bracket, and get to an AGI of $106,150 while still staying in the 12% bracket.
WRT capital gains, the top of the 0% bracket is $80,800 (nearly the same as the top of the 12% bracket), which means you could convert $30k, but then harvest another $25k of capital gains without paying taxes on them.