Yes, you can drive them to an out-of-state FFL, but the transfer must be through an FFL, of course........you would be the 'private' transportation, instead of 'public' transportation.......and that is within the law.....California and New York may be the only two with weird laws.....a phone call to the FFL in the receiving state would answer all your concerns.........the 24 hour stipulation for handguns is for "public" carriers, but these hand guns are your legal personal property, therefore, that law would not be in effect as you personally transport them.....
Best,