LD, maybe I missed something but you said "It will have 12' of run, the a push-trolley on the 38' span" Why don't you turn the design and make the 12' span the bridge and put your posts in the other direction so that you can use smaller material all the way around??
Also, your deflection calculation is most likely going to control your beam design as long as their isn't a localized failure in the flanges of the beam due to the high point loading from the very small trolley wheels. Also, don't forget that if you have to much deflection center span, that the beam could potential rotate off the running gear at the ends or at the least bind it up. Also, don't forget to look at lateral torsional buckling when you get tall slender sections.