With regards to the health concerns, there have been numerous health studies concerning receiving Communion from the cup and the rate of disease. The studies have shown that there is no difference in the rate of illness among those who receive from the cup and those who do not. Here is a link to one study from the late 90's. http://pccc.edu/uploads/Eq/at/Eqatj9mwAcuWFO3G6UsXEw/Communion_Survey.pdf
Another study from 2013 shows that the "risk of infection cannot be eliminated but is extremely low" The link for that study is here. http://www.ijidonline.com/article/S1201-9712%2813%2900187-2/fulltext#sec0020
There are, in fact, other accepted methods of distributing Holy Communion in the Catholic Church under both species. Neither of these forms is customary in the Archdiocese of New Orleans.
While not common in the Western or Latin Rite Church, there are some Catholic Churches that use a Communion spoon to distribute Communion. The consecrated Communion bread is dropped into the chalice, then the priest or deacon uses a spoon to drop the bread soaked in the wine on the communicant's tongue. Here is a video of a Ukranian Catholic Church distriubting Communion this way. https://www.youtube.com/watch?v=3NwDYCZgEag
Another way to accomplish this is with what is called intinction. The priest or deacon would first dip the consecrated host into the consecrated wine and then place it on the communicant's tongue. This is not commonly done as it dramatically increases the time it takes to distribute Holy Communion.
If after you have read the references about the health issues provided, if you still have concerns, you should just continue receive Holy Communion under the form of bread and not feel the least bit guilty about it.