Others will more knowledge will jump in with suggestions/corrections.
FBAR/FinCen is only on-line (that started a couple of years ago).
There are ways of filing your tax return electronically in specific cases. In some instances, required forms are not part of an electronic filing. We filed electronically 3 years ago, but had to mail the return for the past 2 tax years.
AFAIK, since your wife still has a green card, a tax return is required for 2015 at the very least, as she was resident for part of that tax year and assuming she had taxable income. Even if she had no income, there is no reason for NOT filing MFJ.
In future years, you can file MFS, but claim an exemption for your wife if she has no US taxable income.
As you are UK resident, you get an automatic extension. BUT - any tax due must still be paid by the normal April deadline. If you moved in June 2015, then you also need to think about waiting until you meet the physical presence test to claim FTC.