I personally am a fan of duodecimal numbers, which have the advantages of hex but deal well with thirds also, a practical advantage. Both of these (and vingesimal, tregesimal and sexagesimal, too) contain the decimal and so solve naming problem.
For the naming problem (and also the counting one, since, once the names are in place, they will be used to count), there are two paths. One creates arbitrary new words for the digits (the nine consonants expanded by vowels that don't duplicate existing words, say, as in the current suggestion. There have been dozens of these proposals, by the way, though I don't think they have all been collected in one place yet.) The other follows the pattern of the added 'luka' (and the ill-advised 'mute' and 'ali') by interpreting some existing words as number words, either arbitrarily (all the biota words, say, more or less alphabetically) or on the basis of some perceived (or imagined) relation between referent and some number ('pipi' and 6 because of the legs, say). In both of these the status of 'wan' and 'tu' is more or less left up for grabs. Most, once they get going, go on to suggest a variety of round numbers for E1, E2, E3n and then move to the fractional notions as well (so clearly not about naming any more).
It took me three minutes to work out in my head that 77/10 was 2212/3; not encouraging.