After 11, it does become difficult to rhyme. But there is a way to expand the system. For example, you can use the above rhymes and twist their versions. For numbers 11 19, you can picture each rhyme as burnt: so 10 would be a weirdo who burned the toast, 13 would be a black tree and so on and so forth. For 20 29, you can make words for 1 to 10 as hot, for 30 to 39, you can imagine it as cold.
The second method is the alphabet system, where you recall words for the numbers pegged from 0 to 99. This helps to form a relation without having to remember a difficult relation with number rhymes. Using peg words, you are sure to get the right number by using consonant and converting them to numbers.
The extensive the list, the more effective as you will avoid recycling, resulting in less confusion. The side effect is the long time for you to memorize the list. However, once you recall the peg words, you will be benefitted by the list permanently.
Below there is an example of peg words for 110 numbers below. The secret is to use a memorable word for you, and once used, avoid changing it at all cost; otherwise it will create confusion.