Keep in mind that many tours in Antigua can arrange all this, just be sure to use a reputable outfit and don't shop price but quality. Also, many tours just shuttle customers to GC for the overnight bus, and arrange transfer on a another shuttle from Flores/Peten to Tikal.
If you have time, you can break up the trip going there via Livingston/Rio Dulce a few nights, and on the way back, head to Coban/Lanquin/Semuc on way to GC. That would be a 9-10 day trip...
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