The Teco L510 is a decent VFD, easy to install. It has some degree of braking, but it is limited to the size of the internal braking resistor. Most VFD's with the internal braking circuitry limit the rate of braking based on the maximum buss voltage permitted, so even if you ask for 1 second braking you may only get 3 second braking in practice. On a mill it is generally less of an issue, except if you need fast stopping for say power tapping, but otherwise I usually use a 3 second acceleration/deceleration time. This should be achievable with the L510. Many people also use the WWJ200-022SF but it is out of stock at most distributors. Teco does make an E510 which is a bit more full featured and on can use an external braking resistor. I believe it has a removable front panel, and with an optional extension cable it could be mounted on the head of the lathe (check with Wolf Automation), there is also the Automation Direct GS21 which I would recommend over the L510, but is showing back ordered (you might call to see when they might be back in stock and it the front panel can be relocated).
https://www.wolfautomation.com/ac-drive-3hp-10-5a-ct-vt-230vac-1-3-phase-f2-1/
Remote Keypad cable:
https://www.automationdirect.com/adc/shopping/catalog/cables/drives/gs-cbl2-3l
I can provide you with recommended programming parameters, etc. when you get ready to do the install, just PM me.