Hi Julie,
What you are describing about your competitor's reviews does sound suspicious. While you may not be able to figure out exactly what they've done, you do have the option of reporting spam to Google if you become convinced that spam is involved.
Regarding posting reviews to Google on behalf of your clients, that is actually also spam, so not a plan you'd want to pursue.
Regarding the names used on Google-based reviews, for a couple of years, it was required that users have a Google+ account to leave a review and that this had to reflect their actual name. Just a few weeks ago, Google revoked this policy and users with any type of Google account can now leave a review again. So, if my Google account is HappyPuppy, I can leave a review ... it doesn't have to include my full name anymore. I've tested this, and it seems to be true.
So, this may assist some of your customers who would like to leave a review for you on Google but don't want their full name on it. But, at the same time, your industry would certainly seem to be one where getting reviews is going to be a bit tougher than average given that a) privacy is a major concern for clients and b) your competitor who may be spamming his way to a high review count sticks out like a sore thumb for having 10x as many reviews as anyone else.
Your question made me do a random search for 'bankruptcy attorney denver':
https://www.google.com/search?q=getting+reviews+in+sensitive+industries&ie=utf-8&oe=utf-8#q=bankruptcy attorney denver&rflfq=1&rlha=0&rllag=39697170,-104939747,1337&tbm=lcl&tbs=lf:1,lf_ui:2&rlfi=hd:;si:
I see everything from 0 to 50+ reviews on the listings of the top 10 companies Google is pulling. And, yep, I do see a pretty high percentage of first-time reviews on one of the profiles I looked at. So, there could be something a bit odd about 50+ people being eager to openly rave about the services received from a bankruptcy lawyer, or maybe people really do feel that way. At any rate, it looks like Denver bankruptcy attorneys are getting more views, on average, than what you are seeing in your city, so there may be hope if you have truly loyal clients who do not mind speaking about their experience and whom you can advise about the recent change Google has made to its requirements for leaving a review.
I'd love to see someone write a good, up-to-date blog post on this topic of earning reviews in sensitive industries. If anyone in the community knows of a good one, please share!