Naim NAITs go for silly money these days, if we are talking NAIT 1 and NAIT 2s. The Nait 3’s could easily be had within your budget but they do not carry the same “cache”
If you were going down the NAIM route you may be better off with a Chrome Bumper NAIM NAC 42 or 42.5 and either a CB 110 or 140. Not sure your budget would stretch to a 32.5 plus suitable power amp.
Otherwise an Olive NAC 62 with an half boxed size NAP 90 power amp.
If you are interested in the CB NAIM amps I have a pristine NAC 42.5 pre-amp for sale. This model, unlike the 42, can be upgraded with a suitable power supply in due course if you desired.
Yes I am a NAIM fan!