Why don't use try to back just data file up and restore it in the target server?

There are some limitations.

Columns per base table: 1024 

Rows per table: Limited by available storage

For more info, please refer to BOL with title "Maximum Capacity Specifications"

Regarding table...

The best way from my experiences is that to include full backup plan in your logshipping schema.

For example,

From 3:00 Am to 11:00 Pm do logshipping.

at 11:10 PM do full...

Hi, balbirsinghsodhi

After truncating log, you need to shrinkdatabase, then you can see the reduction in size.

Use DBCC SHRINKFILE('log file name')