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Do you even sleep?
I have not gotten sufficient sleep recently, too excited
How can hedgehog become a network? How do "checks" reach people who don't have a channel with you?
A combination of keysend and zaplocker. Nodes between you and your destination forward htlcs to one another and you send the payment secret to your destination out of band. Like with zaplocker, funds are locked up along the route until your recipient gets online and redeems his payment using the secret
Did your dealing have the capability of reaching users who don't have any money before hand?
You can sponsor the creation of a new hedgehog channel for them and dump money into it. Similar to when you send money to someone on Phoenix for the first time and Phoenix deducts enough money from the payment to do a base layer transaction. See also Burrow: https://gist.github.com/supertestnet/14addffae669058a9bb9df2e2608ff7f
Do you think that it will be possible to implement these simpler state channels into Lightning?
Yes
Where do you stop?
Can't stop won't stop