Actually, you may want to re-think “not going back to eBay”. DVD players are REALLY cheap, maybe your local asian store has a blackboard where you can post something, which would be an option if you want to avoid shipping.
Thing is: The Playstation2 is rather affordable, and it does A LOT. You not only plays PS2 games but also basically all PS1 games, and regular DVDs, there actually used to be a proper Remote for the DVD functionality. In my opinion it may be worth looking into that, if you would enjoy playing games that is.
Ever tried. Ever failed. No matter. Try again. Fail again. Fail better.