We kinda missed this pedal at Summer NAMM ’17, a mod of Cusack’s Tap-A-Delay featuring an extra button that lets the feedback “float” endlessly behind (or in front of!) your live signal.
From the manufacturer’s web page:
The Tap-A-Delay Deluxe is here! This tweaked version of our renowned delay features a “Float” switch which, in combination with the rear-mounted toggle, allows you to freeze your delay and either play over top of it, or add to it. The Float can be used in combination with the brake functions to paint even more expansive sonic landscapes. The Deluxe debuted at Summer NAMM 2017, and we’re pleased to announce that our first, limited run has already sold out! Stay tuned for updates on our next batch.