Weird.
Of course, I'm going to recommend the Eventide Timefactor. Programmable, tons of options and tonal possibilities, a good number of preset locations, MIDI (so you can sync up your program changes with your AxeFX), excellent tone and build quality, you can probably find one on HCFX for 300 or so, and I've gigged mine for years now with no issues. Tap tempo (of course), BPM and ms settings, two individual delays per patch with mix control plus a true multitap setting. And you can get modulated and filter sweep delays out of it, plus it makes a decent modulation pedal (though you have an AxeFX, so...)
The feature set overall is pretty studly, and it sounds kickass. Czech it:
http://www.eventide.com/AudioDivision/Products/StompBoxes/TimeFactor.aspx