Laparoscopy is still a hysterectomy, just a less invasive (but more costly/technically difficult) approach. While fibroids make it a bit harder, a skillful surgeon would usually be able to do laparoscopic hysterectomy with 2 medium sized fibroids in the uterus. I say "usually" as they don't know until they try and it can sometimes happen that they have tyo switch to open approach after first trying laparoscopically. Doctors would not usually mention laparoscopy as an option separate from hysterectomy, since it is a hysterectomy. The issue of laparoscopic vs open approach comes into play only if the patient has decided on hysterectomy.
Re GYNs, depends on what you most want. I find this doctor at St Louis to be a very good communicator, unpretentious, frank and personable:
https://saintlouis.or.th/doctor/dr.petcharat--pitahongnun/8ec97b6a-7666-4fa5-8561-fbbaac15ba7b
However, as of last time I saw her (admittedly some years ago), she herself did not do laparoscopic surgery though has no issue referring to someone who does.
So if what you mainly want right now is explanation and discussion of options she would be a good first choice. At St Louis it is first come, first serve so I'd suggest a Wednesday or Thursday as apt to be less crowded which means more time possible with the doctor.