The Messenger of Allah ﷺ never offered the Duha prayer, whether traveling or at home.
حدثنا محمد بن مصعب حدثنا الأوزاعي عن الزهري عن عروة
ما سبح رسول الله ﷺ سبحة الضحى في سفر ولا حضر
No references are available.
Its isnad is sahih. It has already appeared shortly before. It is found in Bukhari 3/55 no. 1177, in the chapter on tahajjud, in Muslim 1/96 no. 717, in the chapter on travelers, and in Malik 1/152 no. 29, in the chapter on shortening the prayer.