My two cartridges are Transfiguration Spirit III & a Clearaudio Discovery. Tonearm is a Sumiko Premier MMTZimmy -- IMO, the arm is no match for either of your cartridges (I've used all of the above, the Sumiko on Pink Triangle). But it was very good value for money back then.
Any reasonably priced & well engineered modern arm --say the Clearaudio unipivot for example -- will give you much better performance from those carts.
So back to the TTs. My suggestion is that if you buy new, opt for a package TT/arm combo.
So if you do not opt for vintage or the Traveller, you might consider a Clearaudio package deal (called "concept" I think) which comes with the unipivot & is an excellent sounding combo.
If you end up going vintage, the Linn is probably the best value for money at this moment. There are of course many extraordinarily engineered Japanese behemoths or the ubiquitous EMT to choose from -- but these can easily set you back ~5k in the blink of an eye!
But again: you already have the cartridges to easily match a top level TT. My latest (and last Discovery) was on a Simon Yorke...