Two lined salamander larvae can get beyond 5 cm in total length, so these do not look too big.
The dorsolateral pigmented lines of three lined salamander larvae have much more melanin (black pigment) in them than the two lined larvae do, at least in my area. Two lined larvae tend to have more streaking in the stripes than do the three lined, and the lines tend to be thinner.
As for whether or not it is lucifuga, that I do not know as they do not occur in my area. But see what the keys say.
As for the bushyness or redness of the gills - these traits change with time and environmental conditions. I keep Eurycea larvae in the lab. Those that come in with very short gill filaments can develop longer, bushier filaments over time (a couple of weeks). As for the background color, or shading, I have collected Eurycea cirrigera larvae that are almost pitch black (see the first picture), and those that are pale with almost no melanin whatsoever (see the second picture). The third picture is of a smaller E. cirrigera larva. You should be able to see the pairs of dorsolateral spots in all of these photos, this is a trait that is supposed to be indicative of E. cirrigera, and not present in E. guttolineata. Again, you're larvae are Eurycea, and if they were down here I'd say cirrigera. But look in to lucifuga or possibly longicauda? I believe that looking for dark ventral surfaces of toes is a trait used with these species?