Yes, you have other alternatives. Aircrack only support dictionary and bruteforce attacks but you can convert the file into other format to be used with another tool. I can recommend to you to use hashcat.
To convert a captured file to hashcat format you must do:
aircrack-ng /path/to/handshake.cap -J /path/to/converted_file -b 00:11:22:33:44:55. Of course you must put your paths and the BSSID of the network you want to recover the password. The
-J parameter is to convert the file from one format to hashcat format.
Then, once the file is in hascat format, there is a new world of possibilities. Here is a link to the Hashcat's page. Now you can use GPU which is more powerful than CPU to bruteforce.
But even if is not an option for you, you can use for example rule based attacks with hashcat. Rule based attacks combine words in dictionary with some rules. This rules depend of the rule file you use.
Some of them exchange letters, other add prefixes, suffixes. Others tranform the words in l337, or whatever. The rule files creators are so imaginative! Some of them combine a lot of them and can be complicated.
The point is to try to get the password "playing" with these rules and the dictionary files and believe me... it works so many times!
So many pentesting Linux distros already have rule files to be used on rule based attacks like this I'm propossing you. For example, in Kali Linux you have a lot of them in the
Hashcat has changed recently its way to work. Before version 3, there were different executable files to use CPU and GPU. Now, with hashcat v3, there is only one executable for all and only change the parameters to select what you want to do (CPU, GPU).
Let's assume you want to use CPU because you said you haven't strong processor capacity.
Command for hashcat < 3:
hashcat -m 2500 -a 0 "/path/to/your/converted_file" "/path/to/your/dictionary_file" -r "/path/to/your/rules_fie" -o "/path/to/your/pot_file"
Command for hashcat >= 3:
hashcat -m 2500 -a 0 "/path/to/your/converted_file" "/path/to/your/dictionary_file" -r "/path/to/your/rules_fie" -o "/path/to/your/pot_file" -D 1 --force
Maybe you can "pivot" from hashcat format to other format to use another tool, but I think with hashcat you have all you need. Good luck!