FieldLikePredicate has a CaseSensitiveCollaction property. When set to true, you will get a case-insensitive compare. That means that LLBLGen will generate an UPPER(SomeField) SQL. i.e.:
// This filter will perform a case-insensitive search
FieldLikePredicate filter = new FieldLikePredicate(EventFields.Name, "test".ToUpper());
filter.CaseSensitiveCollaction = true;