Its a great concept. It will be difficult, however. To get your perspective right, i would suggest you mess about with two sticks in your backyard. how far distant does a 10 foot high stick need to be before it has the same proportions as a 1 foot high stick? i did some rough calculations, and at 80cm distance a 2.5cm stick appears to be the same as a 9cm stick behind it, or a scaling change of 3.6. you need to get to a scaleing change of 10, to make it look right.
once youve done that youll need to work out a way of making the aircraft appear as if it is airborne I dont think it would be a permananet display, so you would want to make the connection to the base detachable. Next you want the supporting rod to be as invisible as you can. Not sure how to do that ...maybe some carbon fibre rod or something.
Its a fantastic idea, but it wont be easy.