I would shy from any '03 and up 6.0 or 6.4 Ford engines. Check out Ford diesel forums for problems/out of pocket expenses some owners have had with these two engines. There are reasons Ford quickly dropped them both.
You don't need a DRW for that size trailer however the newer gen one ton SRW truck are better suited for 3500+ lb payloads in the bed.
Only you can decide if a one ton DRW will fit in your daily driver scenario.
I have both trucks and no way my crew cab long bed DRW will physically fit where I go in the big city or some job sites or in pastures.
Ram has several 3500 SRW trucks with 12000-12300 gvwr and 7000 rawr packages good for around 3800 lb in the bed.
If you choose the F350 SRW these can come with a 10000 gvwr or the same truck in a 11200 gvwr. Choose carefully.
The 3500 SRW GM will do anything Ford or Ram can do. The newer gen SRW trucks are all good trucks.
