Acrylic clear coat just won't give you the best results. Lacquer is better, and is more durable, the thickness can be easily controled. But it can react with 99% alcohol. for me the most stable clear coat is polyurethane coat. it basically won't react with common type of thinner we use for modeling purpose. polyurethane is really hard and is widely used in industrials, and also works fine with models. but it requires some experiences for the operator.
As for the compounds, i don't think they will react with Lacquer or polyurethane,
as you mentioned that tamiya compounds would react with gunze spray can clear, i think maybe because the clear coat hasn't dried completely. I once used gunze spraycan clear, b-513, and then use tamiya compounds, from coarse to fine then finish, the result was good. it won't as shinny as the original clear coat because the compounds leave some tiny scratches. maybe you can apply some wax to get better results.