I find that, among the low-powered triodes, the 2a3 is one of the leaner sounding tubes. It does not deliver either the punch or the weight that most other tubes deliver. I have run a number of new as well as old stock 2a3s in my Audio Note Kageki, and none really stick out much as far as more weight in the bottom end. I have run both the meshplate and non-meshplate EMLs, the non-meshplate has a tighter sound overall, and the meshplate delivers a huge soundstage and the sound seems to bloom into a large space (some might say slightly phasey sound), but, but I don't think either could be said to deliver more weight (associated with a more pronounced upper bass) than the other.
I would hesitate to suggest old monoplates because they are so expensive, but, the ones I heard did sound somewhat warmer. I just think that the leaner sound is somewhat inherent in the 2a3 character. You might be better off experimenting with different driver and input tubes. These tubes make a big difference in the character of tube amps.
Good luck.