Indeed - I really do think that's your best option, and when you find them, they will probably come with an appropriate power supply/driver. Many/most of those which have various 'flashing options' also have a non-flashing option, and they usually default to the mode previously selected every time they are switched on - so I don't think that you will necessarily have to automatically 'reject' any that have the option to flash (or fade, or whatever)..Ok, i think its best to source a string of leds without flashing options and then match the LED driver exactly.
Kind Regards, John