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Find out what car rental companies are available at your destination, then call/email them to ask. Try to ensure whoever you ask checks policy rather than just answering what they think is right - because you may find whoever is at the desk on the day you collect has a different idea, and it could be important to show them the correct answer.
I'd also be keen to check if the law of the countries you intened to drive in are happy with this arrangement. In some European countries you can be compelled to hand over your license when stopped by law enforcement and there is of course the possibility you get into an incident of some form. It could be problematic if it turns out that you were breaking the law with a driving license not in your legal name.