I have a question. You said you have had many problems with your light. When you installed the bulbs, do you touch them with your bare hands?
I have four of those style halogen light fixtures, and the bulbs last easily 8 to 10 years when I put a few hours a week on them.
I have had mine for close to 25 years now, and they have worked great for me.
Yes they are not LED, and yes they get damn hot! But to replace them now with newer LED models would cost more than it's worth, since replacement halogen bulbs are only 7 bucks each.
Perhaps the wiring is bad? Or maybe something is loose inside that makes the bulbs burn out faster?
You never said it, but how long do the bulbs last in that fixture?
Jim