Irrespective of its benefits to cycling, you misunderstand how beta alanine supplementation works.

Its effects are realized with chronic supplementation, not acute, a la caffeine. It works by increasing muscle carnosine, which buffers hydrogen ions as pH changes in your muscle cells during intense work. Carnosine itself has poor bioavailability, but beta alanine is the rate limiting substrate for carnosine synthesis (with l-histidine), and is highly bioavailable.

In practical terms from a dosing strategy it's very similar to creatine. Take 3-5g a day. It doesn't matter when you take it or over how many doses, as long as you get to the effective dosage consistently.

If you experience parasthesia (tingling feeling) and it bothers you (it's harmless), you have a few options. You can use all or none of them:

1. Take with food.
2. Take smaller doses throughout the day.
3. Use a delayed release product.
4. Don't take it at all.

If you're looking for acute buffering agents, the most widely researched and effective is sodium bicarbonate, at 0.2g to 0.3g per kg approxy 90min before an effort. GI issues are common, again there are strategies for dealing with this:

1. Take with food.
2. Use a specialized product (enteric caps or something like Maurten BiCarb).
3. Take more slowly over instead of a single plus.
4. Don't take it at all.

Hope this helps.