Rich makes a good point about using some of the more popular and accessible Jazz. There are plenty of folks who associate Jazz only with bebop and have no idea about the variety of styles available.
Hard to go wrong with swing era Jazz like Ellington, Armstrong, Glen Miller, Count Basie and such. A lot of the stuff on on the GRP label is very accessible and well recorded to boot. I would include some up tempo Sinatra and Mel Torme and perhaps some Tony Bennet as well.
Best wishes for your wedding!
Mike