When it comes to looking at Direct Drive TT's, from the Vintage Brands and Models, a Denon DP - 80 can be found for well under the $2000 allocation of Budget. Shipping and Import will be additional to the Purchase. Overseas shipping has recently had price increases, but for a single TT, these may up $70-100 to the prior to Covid charges.
I suggest the DP-80 for two reasons, one being that I own Two Models in my collection of a Selection of Vintage DD TT's from the same production era.
The other being more of the Ancillaries available and seen often that might just suit your purposes, the DP-80 is commonly seen in two forms that is with oor without a Plinth.
The Plinths seen for the DP-80 are often seen a Models that has the option for Two Arms in built as part of the design. From recollection I know there are Plinth Models that will accommodate one 12" Tonearm but I can't reassure that I have seen a design that will support two 12" Tonearms, I am sure a little though on the matter would produce a satisfactory method to enable the use of two arms at 12".
There was a lot of research carried out by the Big Brands during this TT's Production era and there will be Plinth Materials known off, that are being reported on as a better interface material that other types, it might be worth looking into the preferred material selection, another plus is that Plinths show up for sale as individual Items without the TT as part of the sale. This would enable a TT Motor Unit and Plinth to be selected as individual items and be shipped, if a intermediary buying service is used, this service will receive your goods, and combine the items into one package for shipping.
The icing on the cake with the DP-80 is that if one is to be sought as a TT, and the buyer has a understanding of the ancillaries it can be supplied with, an extension time of surveying the used item sales market, will allow for a Phosphor Bronze / Gun Metal Plinth Model to appear, surprisingly these do not usually command a large margin of increased asking price.
I will cut of here, and let other users of this suggested model inform you its credentials as a TT