I'm having the same issue, cannot find any documentation on this at all.

This is what I ended up doing, gender and communication method are my custom checkbox lists

Created an EditMemberViewModel:

    /// <summary>
/// Edit Member View Model
/// </summary>
public class EditMemberViewModel
{
    public ProfileModel Member { get; set; }

    public IEnumerable<SelectListItem> Gender { get; set; }
    public IEnumerable<SelectListItem> CommunicationMethod { get; set; }
}

I then created a SurfaceController with an EditMember method:

    public class AuthSurfaceController : SurfaceController

.... .... .... ...

        public ActionResult EditMember()
    {
        var model = new EditMemberViewModel
        {
            // This returns the editable fields so doesn't include FirstName, LastName, DateOfBirth or MembershipType
            Member = Members.GetCurrentMemberProfileModel(),
        };


        // Get lookup values
        model.Gender = GetPrevalues("Member - Gender - Checkbox list", model.Member.MemberProperties, "gender");
        model.CommunicationMethod = GetPrevalues("Member - Communication Method - Checkbox list", model.Member.MemberProperties, "communicationMethod");

        return PartialView("Membership/EditMember", model);
    }

Then in my EditMember razor view at the top:

    var profileModel = Model.Member;

and then further down this snippet of code renders radiobuttons for the custom checkbox fields

                                        @if (textArea.Contains(alias))
                                    {
                                        @Html.TextAreaFor(m => profileModel.MemberProperties[i].Value)
                                    }
                                    else if (alias == "gender")
                                    {
                                        foreach (var item in Model.Gender)
                                        {
                                            <div>
                                                @Html.RadioButtonFor(m => profileModel.MemberProperties[i].Value, item.Value)
                                                @Html.Label(item.Text)
                                            </div>
                                        }

                                    }
                                    else if (alias == "communicationMethod")
                                    {
                                        foreach (var item in Model.CommunicationMethod)
                                        {
                                            <div>
                                                @Html.RadioButtonFor(m => profileModel.MemberProperties[i].Value, item.Value)
                                                @Html.Label(item.Text)
                                            </div>
                                        }

                                    }
                                    else
                                    {
                                        @Html.EditorFor(m => profileModel.MemberProperties[i].Value)
                                    }

Hope that helps. Let me know if you need any more info..

Is this example valid for Umbraco 8 - if so, would You care to share a full working example...? :)

is working on a reply...