I am surprised there aren't more hosts on the co-host registry in your area, @Jane235. You have posted on a host forum in case you thought your note was read by Air BNB. I am on the registry in my city and there are quite a number of other hosts as well. As to fees, the usual in my area is 10-20% for management of expensive entire homes, but the cleaners are usually hired out. Since you place does not command a large nightly rental, you might need to negotiate a higher rate.
Also in my area which is the Southern California desert near Palm Springs, we usually do not have much activity during the summer months (our type of winter :P) and I have never had a problem qualifying to Super Host since it is an assessment based on a year of activity. I think those who host long term have more of a problem.
What do you think of going to the Home Sharing Club of Melborne to see if there are hosts that could be interested? You are not talking about a long term arrangement, so a busy host might take it on while you are traveling. Just a thought. Good luck!