‘Camels were last and least of Abraham’s possessions (Gen. 12:16), and in his time were used solely for the long-distance, desert-edge trip to Harran and back by his servant to obtain Isaac’s bride (24:10-64 passim). They were among the last named in Jacob’s wealth (30:43; 32:7, 15) and again were used solely for the long trip from Harran back to Canaan (31:17, 34). The desert-traveling Midianites used them (37:25). This is remarkably little. Then, at the time of the exodus and after (thirteenth century at the latest), they occur once among Pharaoh’s transport animals (Exod. 9:3) and twice in lists of creatures not to be eaten (Lev. 11:4; Deut. 14:7). Not much of a presence at all!
What about external sources between circa 2000 and 1200? We first consider the early second millennium (vaguely patriarchal), for which we have the following: from Egypt, a camel skull from the Fayum, “Pottery A” stage of occupation, within circa 2000-1400; from Byblos, a figurine of a kneeling camel, hump and load now missing (originally fixed by a tenon), about nineteenth/eighteenth century; from Canaan, a camel jaw from a Middle Bronze tomb at Tell el-Far’ah North, circa 1900/1550; from north Syria, a cylinder seal of the eighteenth century (of deities on a camel), in the Walters Art Gallery; and from mentions of the camel in the Sumerian lexical work HAR.ra-hubullu, going back in origin to the early second millennium….
[T]he camel was for long a marginal beast in most of the historic ancient Near East (including Egypt), but it was not wholly unknown or anachronistic before or during 2000-1100.’ ( Kenneth Kitchen, ‘On the Reliability of the Old Testament’, p. 338-339)
‘Abraham did not want his son to marry a Canaanite, so he sent his servant to Paddan Aram (as the Haran region of north Mesopotamia is called) to secure a bride for Isaac. With ten camels and adequate personnel, the servant heads the caravan towards his master’s Aramean kinsmen. The mention of camels here and elsewhere in the patriarchal narratives often is considered anachronistic. However, the correctness of the Bible is supported by the representation of camel riding on seal cylinders of precisely this period from northern Mesopotamia”
“It is often asserted that the mention of camels and of their use is an anachronism in Genesis. This charge is simply not true, as there is both philological and archaeological evidence for knowledge and use of this animal in the early second millenium BC and even earlier. While a possible reference to camels in a fodder-list from Alalakh (c. eighteenth century BC) has been disputed, the great Mesopotamian lexical lists that originated in the Old Babylonian period show a knowledge of the camel c. 2000/17000 BC, including its domestication. Furthermore, a Sumerian text from Nippur from the same early period gives clear evidence of domestication of the camel by then, by its allusions to camel’s milk…For the early and middle second millennium BC, only limited use is presupposed by either the biblical or external evidence until the twelfth century BC.’ (Kenneth Kitchen, full source here.