Ahhh, now's my chance! Peep sights... lots of them out there. You already answered your own question on how to fix it... GO PEEPLESS!
Man, I can't begin to tell you how much nicer it is to go without. Low light? No problem. Rubber peep hose issue? No problem. Twisting peep? Yep, no problem. Don't wail rocks just yet... I WAS a peep shooter from way way back. Did I mention from way back? Yeah, peeps. Those special little devices that you really don't need... IF... your form is solid.
I wear corrective lenses and always hated how the peep shrinks the FOV. I've done all there is to do to peeps... drilled 'em, filed 'em, used the C-More peep... blah. I've timed the string outta the press so no alignment hose was required. Blah. The real deal is that you don't need a peep. I'll shoot side by side anyone who uses a peep with no worries. What you do need is a good reference point.
A kisser button like most, a sold anchor with your release hand, (one that is forever repeatable), and THEN, as a third point of reference, I align the inside edge of my bow string, (once at full draw), with the very outside edge of my sight pin guard. This gives an unobstructed view of the pins and everything beyond! It takes a bit of practice, but it can be mastered in little time if you try.
Why did I remove my peep to begin with? I went peepless after an indoor DART competition warm up. It was many years ago. We signed up to compete in a 15 week team tourney and I was having a bad time in the darkened DART room. I reasoned that if I took away the peep reference, so I could see better, I'd need another one to lock the shot back in. Merging the edge of the string to the very edge of the pin guard method was born. Others followed at the local range, evidenced by our teams win in that 15 week event. Taking the individual high average shooter money while PEEPLESS didn't hurt my suggestion to go without a peep either. I'm not bragging, just stating the facts that support going peepless is by no means a handicap.
You can vary the peeps replacement reference point as needed, depending on what you have on your bow. Not all use the same method I employ. Some use a small section of serving tied on the string where the peep had been. They draw and anchor as normal, using the hand reference and kisser, then simply line up the serving where the peep had once resided. To each his own, as there really is no wrong way to do it.
I've been using this method for a number of years... happily no longer suffering the woes of the peep sight. Short of trying some type of rear sight peep eliminator, (I hear they work well), I'll confidently keep putting the arrows where the need to go... clearly viewing the immense advantages without the little problem maker installed. Think about it... what Pro shop these days DOESN'T push a peep? Most people shoot them because they never really thought to try it without one. Don't give up and good shooting!