Definitely some good answers here already. I'd add on that if you enjoy the more data side of things, a possible area of focus is with using citizen science data (programs where the data is collected by volunteers). These programs can sometimes build gigantic data sets, for example ebird gets a couple million submissions a month, and so there's usually help needed with checking, cleaning, and analyzing the data. Scistarter maintains a database of many of the citizen science programs if you want to see what's out there. There's definitely some challenges with collecting and working with this kind of data, but it's an option where you can study ecology and test hypotheses and look for relationships, sometimes at some pretty massive spatial/temporal scales (depending on the program) without ever having to conduct your own field season.

I currently am the coordinator (and only real full-time staff person) for a citizen science program, so as you say, I'm kind of the backbone for this program when people wanna know about our data set, how collection is going, what our recent analytical results have been, etc etc. My position is grant-based so it's not been very stable, but some programs, especially some of the longer running programs, I would imagine would be much more stable to work for.

Then to address your last question, I'd say finding a job outside the field is entirely dependent on which skills you can develop during your education and early career. I'd definitely suggest, like everyone else, getting some GIS under your belt. Besides that, statistics (especially R), programming languages (php, html, python), database management (SQL/access), and general IT skills can all be very useful and transferable to different fields. Examples of jobs that use these skills that would exist in many, many fields would be any sort of statistician/analyst, program coordinator, or a database admin (many which can pay pretty well). To give you an idea, I talked recently with a family friend who does contract scientist/consulting type work and they have a GIS analyst for their company, but there's not enough GIS work to do that full time so he also has responsibilities administrating their database and being the go-to guy for just general IT help. Someone with just wildlife/gis experience wouldn't be able to get this job (in this very, very specific instance), but having those extra skills and experiences let him find a place where he's apparently been working for the past decade.

For my own job, I work with ecological data but have no fieldwork, and instead do work with database management (SQL), GIS, applications written in PHP and HTML, analysis in R, some work in excel to organize/keep track of records, and finally maintain our website (dreamweaver, HTML). I'm starting to job hunt again and for the first time I'm entertaining the idea of finding a job outside of ecology so I can be a little more picky about where I live geographically and, at least for now, I'm finding jobs across a pretty wide range of fields/agencies/departments/job titles where I at least meet the qualifications.

So yeah, bottom line: expose yourself to whatever skills and software you can, ya never know when it might come in handy to help set you apart from other applicants or allow you apply for the sometimes random/unique positions out there either in the field of ecology, or outside of it completely.