You can (in theory) guide an air-to-air missile in at that range remotely using an optical targeting pod on the launching fighter, it's generally more risky though because you can't immediately break contact like you can with a Meteor for example. Meteor is highly resistant to ECM however, and a remote guided missile might not be. In all cases however, any laser system you can power on a fighter jet (assuming current and near future technology) will not be able to target a manned or unmanned fighter jet in a way that a remote guided missile system can't. A laser system could be useful for close range defense.
Stealth aircraft are immune to targeting radar guided lock except at quite close range. IR missiles are better, but are generally not BVR.
Also, at high altitude “within laser range” could be at “BVR” type ranges, e.g. over eighty km.