With BTC 10 I'd probably go the other way and open 1,000 channels worth BTC 0.001 each. That would enable me to have a much wider spread of nodes / regional access than just sending coins backwards and forwards to just one other node.
If you have at least two channels with a lot of capacity, you potentially can charge higher fees because some transactions would need to be routed through your node, and you would potentially have a higher volume of transactions route via your node for similar reasons.
To my knowledge, it is not possible to route a portion of a payment through a channel. So if you have channels with
BTC 0.001 of capacity on each side, you would be unable to handle any transactions above this amount.