FWIW, I have been using a Marantz "prosumer" CDR-632, which is nearly identical to the entry-level TASCAM CD recorder, to digitize analog source material (tapes, LPs) for over three years. In spite of a wobbly CD drawer that does not inspire confidence, it has been completely reliable, easy to use, and makes very good recordings on inexpensive CDR media. A plus is that these prosumer machines can use data-CD-Rs and CD-RWs, saving you money. I use mainly Tayo-Yuden CD-Rs, and have had maybe one drink coaster out of well over 100 CD-Rs used. The newer Marantz CD recorder replaces the drawer with a slot-load CD drive.
I do agree, however, that the Alessis is a better way to go, and if I was buying a CD recorder right now, that is what I would buy. The main reason is the hard drive. I don't leave the track divisions when recording LPs to the Marantz's auto track feature, so I insert the track divisions manually. The result is that I usually get the track division right, but miss a few. The hard drive would allow me to just record the whole LP, then insert track divisions, then burn the CD-R, eliminating the errors. Plus, if I mess up a CD-R with the Marantz, I have to start again (or take the messed up CD-R to a computer and reburn a new CD-R).
I would guess the Yammi has similar flexibility.