I run Wine 1.6.2 /LTSpice May 26 2016 /Ubuntu 16.04 and it's usable. There are minor GUI annoyances and I can't easily plot the current in a wire, but otherwise I can manage. It might be worthwhile trying to address the Wine issues directly, rather than looking elsewhere for a simulator.

Can I suggest dropping Eagle? Go for Kicad. If it's good enough to design the Hadron Collider on, it should do for users here. And they're starting to develop Spice integration too, but for free.

I run Wine 1.6.2 /LTSpice May 26 2016 /Ubuntu 16.04 and it's usable. There are minor GUI annoyances and I can't easily plot the current in a wire, but otherwise I can manage. It might be worthwhile trying to address the Wine issues directly, rather than looking elsewhere for a simulator.

Can I suggest dropping Eagle? Go for Kicad. If it's good enough to design the Hadron Collider on, it should do for users here. And they're starting to develop Spice integration too, but for free.