without和but的使用方法

在北平即便不外出去罢，就是在皇城人海之中，租人家一家破屋来住着，早晨起来，泡一碗浓茶，向院子一坐，你也能看得到非常高非常高的碧绿天色，听得到青天下驯鸽的飞声。
     In Beijing, one imperial capita in ancient China, you can always enjoy a  high, crystal-clear sky and hear a chorus of domestic pigeons fleeting over your head,  without joining the crowd but making a cup of strong tea after getting up and sitting in the courtyard of a rented crude house.  请问老师，后半句中but的使用方法对吗？不对的话，句子该如何改正？

but并列二个随着状语：without介词短语和making目前分词短语。虽说介词短语和分词短语不是完全对称，但都是随着状语，这是可以同意的。假如把这段文字做如下修改，可以令你认可吗？

In Beijing, one imperial capital in ancient China, rather than join the crowd, you can always make a cup of strong tea after getting up and sit in the courtyard of your rented crude house, enjoying a high, crystal-clear sky and a chorus of domestic pigeons fleeting over your head.