I had one. They were very popular in the late 90's/early 2000's because they were thought to last longer than other tissue valves. They don't, and insertion and removal are both more complicated, and you lose your aortic root in the process. I just had mine taken out after 7 years (was young at time of insertion, 18) due to structural valve deterioration. Because of the added complexity and no added benefit, they are typically now reserved only for patients with endocarditis, because they have been found to work well at preventing re-infection. The long and short of it is that unless you are infected, there is probably almost no center in the U.S. that would give you a homograft now, even the Cleveland Clinic, which used to push them hard. I've also cut/paste from the Cleveland Clinic website:
An aortic valve homograft is a human valve transplant. It had been our hope since the late 1980's and early 1990's that aortic valve homografts would last longer than heterografts. Unfortunately, that has not turned out to be the case. They appear to wear out at about the same rate. The disadvantages of homografts are that the operation to put one in is a primary operation and is bigger than the operation to put in a heterograft. The re-operation for a homograft is also considerably more difficult than a re-operation for a heterograft. Now, fortunately, in experienced hands, we've found that the risk of doing those homograft re-operations has been relatively low, but they are bigger operations than the re-operation of a heterograft. Therefore we do not choose to use homografts, except in a couple of very specific circumstances. One is in the treatment of valve infections, where homografts represent a very good option and have a very low rate of re-infection. The second is to treat situations where the original valve that was put in appears to be a bit too small for the patient, since homografts are a very efficient valve and relieve the obstruction across small valves extremely effectively.