looking for preamp with built in tuner

Rotel did make them if you don't mind used. Not sure which have remotes. The manuals are available for download at Rotel.com; so you could look and see.

The model numbers are:

RTC850
RTC940AX
RTC950AX
RTC965
RTC970

The NAD 1600 is a competent Tuner/Amplifier with a decent phono section. In fact, I am presently using one connected to a Krell KAV300i integrated amp as my tuner/phono sectionall feeding into a Triangle Celius and it does a pretty good job. I also still have an Adcom GTP-500, a Carver CT-6, and Carver CT-7 all hooked up to lesser important systems and I feel these are less competent than the NAD but they do a pretty good job on a system used not as a critical main system.

Correction on my earlier posting, The NAD 1600 is a Preamp/Tuner with a full remote. It has performed for me more competently than the Adcom GTP-500, the Carver CT-7 or the Carver CT-6. I live in a spot challenging for FM reception and the NAD outperforms the others.

I am using the NAD 1600 as well. Have changed amp, CDP, and speakers over the years but the 1600 remains. Have not yet found a reason to change.