Great blog! I wrote an article a few years ago about how your idea might be implemented. Here are two thoughts.
Bring ‘Em All Home—Have Representatives telework to Washington from offices in their home States. Make each State responsible for maintaining office spaces—working offices in the State and an “embassy” in Washington. The State would decide how many representatives, if any, to send to Washington to represent the State in person.
Improve Representation (by votes)—One way to minimize this unequal and ineffective representation is to give each State one vote (rather than one Representative) in the House of Representatives for every 30,000 of population.