Here is the funny thing. If you had 50 hairs that were close together, your treatment time would be 5 minutes or less. It would take more time to do your consultation, prep the area and there could be no sample treatment, because the average sample treatment might be first clearance for you.
If you really have counted and you truely have only 50 hairs, then you will be doing about 10 minutes of treatment a month over 9 - 12 months.
I caution, however, that everyone who has ever told me that they had some ridiculously low number of hairs, did not in fact know the true number of hairs that they were talking about removing, and we found that taking out the largest of them, only served to make the next thickest batch of hairs more noticeable, whereas they were not previously something anyone paid attention to.
I hope your problem is only what you say it is. I concur, to risk Light Amplification by Stimulated Emission of Radiation for the minimal results you would get compared to electrolysis in this situation would be pure outrageously expensive folly. It might even bit you on the butt, by causing more hair to grow in the treated areas.
You really don’t need to worry about best machines, as your problem will need only a skilled electrologist, and even a lousy one should get it good enough unless she/he was trying not to do a decnet job. Of course, you can do a search on the words “best machine” and see what comes up.