As a J1 scholar you do not count days towards the substantial presence test for 2 calendar years, so 2015 and 2016. That would make you a nonresident alien for 2016 and you would need to file form 1040NR or 1040Nr-EZ plus form 8843 (plus a state return if applicable). Nonresident aliens cannot file a joint return, so your status would be married filing separately (or married nonresident alien as it might be written on the forms). If your husband has no income, he would just file form 8843, no ITIN required for that form.
Turbotax does not support these forms. You can download them from the IRS website. Some universities also provide free access to tax preparation software for their foreign students/scholars.
(And just for your information, not tax related, you can go for vacation in Canada and renew your visa there. We did that several years ago and got the new visa within 4 days. In our home country that would have taken weeks or months.)
