Have been using red dots and scopes on all kinds of guns for almost thirty years, now. Depends on how much you want to spend, but there are some very reasonably priced red dots that would work. One of my favorites in an affordable red dot is the Bushnell Trophy TRS-25. Good brightness and windage/elevation adjustments, decent screen clarity and an al around useful 3 MOA dot. You will need to find an 3/8th/11mm to weaver adapter to mount it on your LP8, but those are easy to find. Tube style Ultradots can be mounted with conventional 11mm rings and are outstanding lifetime quality red dots very popular in pistol match competition. I prefer tube style dots for piste work because I find dot acquisition to be easier than with reflex style red dots. In a reflex style red dot, one of my favorites that I am using on some springer rifles is the Burris Fastfire 3 in the weaver mount option. You'll need that same weaver adapter as per the Bushnell, but this is an excellent, very small and light reflex style red dot. If you actually want to go scope with magnification, things get trickier, depending how close your shooting will be. At 10 meters, most standard pistol scopes will have parallax issues and some will not even focus clearly at 10 meters. There have been some pistol scopes made with AOs and some pistol scopes parallax set for close distance work, but those are few and far between. And no doubt about it, a pistol scope is harder to use than a red dot. It takes practice to get the hang of it. I'm an old pistol silhouette shooter and, back in the day, a lot of us used rifle scopes on our pistols with unconventional holds. I currently have a few air pistols setup with 2-7x air rifle scopes with AOs. Not sure how this would work with an LP8 recoil, but something to consider.
Can't help you. I shoot my LP-* with the open sights. Pistol is heavy enough as it is.Range is really only 20 yards+. I can see 20 yards without a scope of red dot. -Y