Space is an issue on my board.
If $300 isn't breaking the bank (like the Avalanche Run, above), then the Source Audio Nemesis should be on the list. And it has presets.
For $99 you could get a Zoom MS-60B which has tap-tempo.
Thanks. This thread just sent me on a 30 minute sidetrack looking at delay effects. When I got back into playing I had a Line 6 Echo Park. It does have a lot of features, maybe too many for a beginner. I got rid of it though. If I had my druthers I would get a Catalinbread Echorec just cause I'm a huge Floyd fan.