40ish year old home with supposedly custom kitchen cabinetry. Had one of the drawer slides break and can't seem to find a replacement part.

Drawer depth: 18 inches

Cabinet depth: 22.9 (literally just a hair under 23)

Slides

Interior:18 inches.
Exterior: 22.7 inches

Info on metal: Grant 236

These are side and rear mounted because the cabinet is deeper than the drawers by almost 5 inches.

What are my options here? Just nail 2x4 back there and then use a 22 inch slide? The problem there is it is a kitchen island and any screws for that 2x4 would probably penetrate the back of the wall and go into the other side which is also a cabinet.

Crappy MSpaint drawing

Iimages of the drawer that hopefully help.

Edit: ended up putting a strip of a 1x4 onto the back wall of the cabinet(didn't drill through the backside thankfully), and used the included hardware. It's been a year and it's the nicest drawer in my kitchen. I really need to get around to replacing all of the slides.

I’ve been searching for 23” slides without any luck. I’ve checked local big-box stores and many online cabinet stores. The old slides I’m replacing are exactly 23”. I’ve looked at installing 22” slides and they miss the face frame by almost a full inch (obviously). Is my only option to put a 1” board at the rear of the cabinet so I can use 22” slides? Or does anyone know if/where 23” slides can be found? I feel like I’m going crazy!

Thanks!