apart from having an panel mounted approved GPS IFR installation. They would only do that if your flight plan indicates /G
you don't need that either.
I have done a few with just using the NDB on the field and the 1 in 60 rule and the ILS DME
If I was the wrong side for a straight in I would ask for self position for the ILS.
The ATCO has no clue at all about whats on the equipment list on your flight plan.
Once your taking to a controller you can ask for what you like and its up to them to say yes or no. As a none qualified VFR pilot you can request an ILS and they may give it to you. But its up to you to remain legal which is more than likely impossible if you are solo.