If someone is davening without a Minyan, he should not hear Shofar or recite Musaf during the first quarter of the day (before 9:25am), unless there is no other option.
When possible, he should hear Shofar (main 30 blasts) before Musaf, instead of after.
He may not blow or listen to the Shofar during the actual Shmoneh Esrei of Musaf, but he may blow 70 additional sounds afterwards in order to hear a total of 100 blasts. [In Shule, 30 blasts are sounded after Musaf, in addition to the 100 already blown. It is questionable whether these additional 30 blasts should be sounded by one who davens without a Minyan. One way to achieve this is by blowing those sounds for one who has not yet heard Shofar. In the absence of that, it appears that these additional 30 blasts should not be sounded in private.]
After one concludes his silent Shmoneh Esrei, he may choose to recite the Piyuttim normally recited during the Chazzan’s repetition, but it is not obligatory to do so.
