A naive solution is:
var _mediaFileShare = this.Session.QueryOver<MediaFileShare>()
.Where(q => q.PublicString == _publicString)
.List()
.SingleOrDefault(r => string.Compare(r.PublicString, _publicString, StringComparison.Ordinal) == 0);
If you're confident that the query will always return two rows then performance should be very acceptable. Alternatively you could use a dynamic order by, something like:
var query = this.Session.QueryOver<MediaFileShare>()
.Where(q => q.PublicString == _publicString);
query = _publicString == _publicString.ToLower()
? query.OrderBy(q => q.PublicString)
: query.OrderByDescending(q => q.PublicString);
var _mediaFileShare = query.Take(1).SingleOrDefault();
The results using an order by will be dependent on your database and its collation setting.