A lot depends on how long you expect the system to continue. What I described was a short term (<1 year) solution.
While I agree that having the main computer as the front desk is not ideal, it is a practical alternative especially if it is frequently backed up.
You could take your other computer to the hospital and use it, then sync rather than relying on a logmein connection.
Unless you are very busy, the MA could use either the front desk or your laptop to enter in vitals and CC.
It is a practical system that is using 2 laptops. Now I will not argue that 4 might not be better, just that the cost now increased by 50% (netbooks are cheaper than full laptops).
This then means you have to move 4 computers and router which is more baggage you will want to minimize.