Well According to my last Six years travel exprience if you revise the plan Little bit it will be very interesting trip:
03 Feb: Dhaka, Savar, Dhamrai, then proceed to Rajshai instead of Natore to see more things and for the good accommodation, even the distance is same Natore - Putia - Rajshai. \
04 Feb: Rajshai - Natore - Bogra / sightseeing places are Silk processing in Rajshai , cursing on Ganges river, Bogra Mahatangar Citadel , the Oldest Citadal of the Bengal civilization , stay at Jamuna resort , best accommodation in Tangile.
05 Feb: Tangile is famous for hand loom weaving, Atia Mosque, etc in tangile, then drive to Akhura land boarder Bangladesh part,
the road throughout your travel will be smooth, you will find so many local markets to experience the lifestyle of Bangladesh.
For Logistic the most reliable of the country is Convey Services. here is
http://convoygroup.net/Convoy_Services.html
for professional package trip in this area :
www.bengaltours.com/info@bengaltours.com The Bengal Tours Ltd.
guidetours.com/ Guide Tours Ltd to get the best service in Bangladesh .