i would seriously consider carrying the whole mass on the plane. choose a plane to include the cost of additional luggage.
as to the heparan, my tubes are about half inch in diameter. the box they come in is huge. take them out of the box and pack them in a metal tin. i would carry some of them on, as lhr)if that is where you are going) has lost my luggage twice, and they were never in ahurry to get it back. your meds are light. check the current rates by usps. i have found them much cheaper than dhl, fed ex, or ups. they just do not advertise as much. they have agreements with the uk postal system, and the service is most amazing. i have never been charged duty when using usps service to lots of places.