How to mix alcohol with cream?
There are a few tricks to get an alcohol-cream mix right:

Pour the alcohol into the cream and not the cream into the alcohol
Stir gently while pouring
Don't overdo it: don't pour more than 15% alcohol into the cream
(yes, Baileys is 17% but they're professionals and you're not  ;-) )
Don't forget that you're diluting your cream so if you normally use 33% fat cream, buy the 40% if you plan on adding 7 Volume% alcohol and 50% if planning on more.

Using the above, you don't have to stick with Baileys but you can use your own favourite brand of whiskey or raspberry liqueur or ...
(If you want authentic Baileys taste, use Jameson's Irish whiskey instead.)
Warning:
Keep these kinds of desserts away from kids and warn guests before serving them something like this.