Hard to say for sure without knowing much about the space but speedlights can do some amazing work for being so compact and inexpensive. If you have access to strobes and know how to use them then you might want to use those.

I would consider, however, what you will have access to most of the time and work with that. That way, you'll learn more about the tools you will have in your "toolbox". So, for instance, if you have a speedlight or two and have to go through a big hassle to borrow strobes you might want to stick with the speedlights as it's what you'll work with a lot and it would be better to get more knowledgeable about what you can do with them.