To make a believer out of someone, they have to experience what happens when a vinyl front end gets out of the way of what's playing. Some of that will be dependent upon the rest of the chain and its ability to itself get out of the way. It kind of sounds like I am talking gobbledygook, but one will know when it happens.
So getting there my be a multi-stepped journey. Putting all the parts and $$ in the vinyl front end may not give you the best it's capable of, if the rest of the chain is in the way. But it will be there waiting for the rest of the system to catch up. I recently put in play a VPI Scout 1.1 and a Well Tempered Amadeus. Still dialing them in. The last daily driver was a VPI HW19jr. with a Rega RB300. Both decks are noticeably more open and out of the way. Playing through an Encore 2010.1 pre (with mm/mc phono), Adcom 565 Mono blocks and ADS 1590/2
I started the WT with an Audio Technica AT150Sa and the improvement in blackness of background was not small. This allowed for improved sound stage and musical separation (not to be confused with channel separation). I then put on a Sumiko Blackbird Hi. This was more of a challenge to get right and I actually resorted to go back to the AT150Sa and put the Blackbird on the Scout and I feel it's working better there. Both of these arrangements have me questioning other components and synergy, but the change was quite noticeable.
A take away here is that when the table isn't muddying the sound, small adjustments in VTA and azimuth seem to make a difference.
I have other decks..Pioner PL-630, Yamaha PX-3, Technics SL1300, Pioneer PL-518 and the VPI HW19jr and none of them were as transparent as the two mentioned above.
So there are two decks that fit your budget. Either one would also serve your cartridges.