Okay, I realise we are reeling with the whole "What? This person doesn't want Internet at home??", but let's forget about the internet thing.

The issue is, as I understand it, that you don't want to be on call 24/7. So the decision tree seems fairly simple:

A. Do you need someone on call 24/7 (i.e. is the difference between 97% and 100% uptime significant in your business)

B. Can somebody else be your out-of-ours support person?

If the answer is Yes and No, you are stuck. Get the Internet already.

If you have trouble evaluating A, go to your users. Ask "would you like feature X or better uptime?" (Never ask an open question like "would you like more uptime", as that doesn't allow you to establish its value - what idiot would say no?)

If your users require better uptime AND you cannot find someone to provide it AND switching off at home is important to your sanity, you need another job.