I have a Pam320 and love it.
Another option is this JLC Hometime. Super comfortable. I like this one alot too.
Baume & Mercier - Classima, an in-house movement would be a minus.
The only GMTs I've ever really liked were the Rolex and the Sinn, all the other ones have the GMT hand "pop" too much, gets in the way of reading the time. JLC Master Hometime gets a nod too, and other watches with a separate subdial for GMT. But my recommendation is a vintage Rolex GMT Master, or GMT Master II, or stretch the budget for the BLNR if you like 'em bigger and blingier (I would not be able to put up with those PCLs myself). I myself voted with my wallet - 1675 GMT Master from the 70s, came in well under your stated budget even with a 93150 bracelet added in. I'm still over the moon with that watch, it is an amazing watch, and I have owned it for a while now (two Rolexes and a JLC since then eh). I'd say you can't go wrong with a 16750 (or whichever is the oldest model with the quickset date). Best of luck eh
I like the JLC Master Hometime. But if you're looking for something more modestly priced, but with the same functionality, look out for the newly released Montblanc Dual Time, which is essentially a homage of the Hometime from JLC's sister brand.
Another vote for the Rolex GMT Master-II..
If you're going to use the GMT functionality for traveling, investigate how the watch works. Some GMT watches, you can adjust the GMT hand independently. Some GMT watches, you can adjust the hour hand independently (preferred). Most watches that use the ETA 2893, like Breitling, Sinn, Tag, etc., fall into the former group. Rolex and Omega, plus the many that use the Dubois Depraz GMT module, fall into the latter group. Investigating will help ensure you don't end up with a watch that looks great, but doesn't function the way you want (happened to me with a Breitling) . Good luck.
Pre-owned Rolex GMT 16710 - Coke or Pepsi bezel.