hi J. I have used Lifepo4 in a few C5's and there are 5 people in the north west that use these batteries also, the run is up and down Blackpool front from st,annes to cleveleys return, about 30 mile and the batteries that are 30ah ( 60ah continuous ) still have a good ah left in them. The chemistry is very good in Lifepo4 and with the C rate and they are not effected by the peukert effect as lead acid batteries.
The best for the C5 are Ping :
http://www.pingbattery.com/servlet/StoreFront . includes the charger with the batteries. Lie Ping can make any size ah and the dimensions you want, very good after sales and warranty. the BMs systems are by far the best of battery manufacturers to my knowledge other than Heinzmann. They are BMZ of Germany and also incorporate LVC over amp draw and heat protection and long standing state balance, but at £540 each a little high but you get what you paid for and 3 years no quibble warranty a good purchase. The german postal service use these and are on many richshaws . If the C5 is just a play hobby I still stand to say a lead acid is better unless you plan to use the C5 daily to commute . I may not have the best knowledge with the C5, very little to some on here , but with ebikes I do know my stuff. There will probably be others on this forum that could advise you on whats best for the C5 and value for annual running costs than my recomendation. I would certainly avoid any lipo/feY4/po4 battery without any BMS.
The other point to make is your earlier post regarding cycles of the lithium battery. dont believe all as its stated unless you know all the ins and outs, such as a BMS system fitted the correct storage, the correct time to charge. you never store one fully charged, when do you put it in the fridge , yes the fridge ! the most likely cycles are 1000 85% . 3000 under 70%, these are if you know what you are doing.
I think Kamil is the one who uses his on a daily basis and would tell you what is best in Lead acid/gell type battery and their value on an annual basis. may be others who commute also. thanks m