Do I need a visa for my study abroad program in the Czech Republic? Minor issues...

[kingrombot]

I got into a study abroad program through my university (University of Washington, located in Seattle,Washington) that takes place in the Czech republic for a period of 71 days, from March 26,2016 to June 4,2016. What makes this more complicated is that I was in Latvia over Winter Break from December 16, 2015 til January 10, 2016, which is 26 days. I understand that you cannot be over 90 days in a given 180 days.

I am also based in Seattle, WA so in the occurrence I need a short-term visa, do I need to go to the Consulate in San Francisco or Los Angeles, since I need to be in person to submit my fingerprints?

Thanks for any help or advice!