The Freud ft3000vce does so too, although now discontinued so would have to be secondhand, and may still be above budget.
Why not look at a different solution, particularly if you are yet to build the table. An NVR switch would handle the on/off issues
http://toolstoday.co.uk/shop.php?sec=prod&prod=75283 (no idea if this supplier is good, bad or indifferent, but I think that you can just plug in the normal plug into the switch rather than remove it- handier if you need to use it hand held on occasions).
chippygeoff was exploring alternative options for having to reach underneath- if you search his posts, there is some good info on the thread. There is also at least one more thread where somebody made something from a car jack to raise and lower the router- I cant remember who this was.
Finally, if you are looking at secondhand on a budget, consider 110v and a cheap transformer- may be cheaper because less people want 110v tools.
I hope that helps.