I'd suggest digging into why you're experiencing frequent connection issues before trying to queue again. Intentional or not, your disconnects are negatively affecting your teammates, and the burden falls on you to try to resolve the problem.
If you need to connect to League servers for diagnostic reasons, queue for bots or custom games. Beginner bots, your team can easily cope without you should you DC; custom, there's literally no other human players to worry about, and Riot SHOULD (operative word) be more forgiving about DCing from either frequently.