you can also try to use ComGateway.
they have an option where you can purchase to get a confirmed shipping price.
have shipped guitars before. they will also insure though of course its mandatory and builds up final price.
received my guitars under a week.
no CITES issues either.
just note that they will ask for an EIN from your seller if value is above USD 2500, in which case if your seller either refuses to apply for an EIN, Comgateway will ask for a scan of the refusal and apply for the EIN on their side.