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I would approach the problem like this: You need both amcl and laser_scan_matcher (lsm). I will assume that your TF tree looks like this:

map->odom->base_link->base_scan

You use lsm to calculate the odom->base_link transform. This means you configure the fixed_frame to "odom" and publish the time-stamped transform so that amcl can use it. If you have no sensors to help, you'll have to disable all the predictors for lsm. Configure amcl in the normal way to calculate the map->odom transform.