I see, you need some additional fields during the registration. I don't have an answer for a similar plugin, although I might need to find one for myself... looks useful tool to have.
The only way to customize the WC registration process, without any code change, is to go in the backsite, and go to the WC settings: WooCommerce->Settings->General Tab, and look for the section in the page labeled "Checkout and Accounts" - "Registration", and "Customer Accounts". All new registrations of course will be shown in the WP users list and they are going to be labeled as paying customers as soon as they purchase something and they pay for it.
For the time being I guess until you find another plugin that will do the work for you, is to use a form to request the additional info., and paste it in the users Bio. info.
If you feel adventurous, I guess, you can create custom posts, and new taxonomies and custom fields to hold the info., but that might be a bit frustrating to figure things out... You will be better off with a working plugin. Who knows, may be in a few days, either that plugins author will update, or WC will update and everything will be solved.
One last question: Is the "register-plus" having problems in general, or just with WC? I'm asking this because if WC updates (and they have to at this point), all your problems could be solved then.
WP is great, but somehow not being backwards compatible every single time, creates such problems. I spend 75% of my time, finding the right working plugins combo, only to start researching and testing all over again, in 3-4 months when the next version comes out! There must be a better way, and no, Joomla or Drupal are not options. My customers can barely understand how WP works, they would toss me out the window of a 10 story building and I showed them something more difficult - to do the same thing!