"Benkyou dekiru" is perfect.
However, the verb "aisuru" belongs to a verb group called "godan katsuyou" or "group I". ※actually, the dictionary form of "aisuru" is "aisu" and "aisuru" is, according to some grammarians, a spoken form of "aisu". This spoken form has its own conjugation called "sa gyou henkaku katsuyou." So it is a bit complex.
To get the potential form of "godan katsuyou" ;
1-take out the last "u",
2-then add "-eru" to the stem
So "ais-u"→"ais-eru"
And the verb group "noun + suru" such as
"tassei suru (to accomplish)"
"sakkā suru(to play soccer),"
"kisu suru (to kiss),"
the real verb in these phrases are the part "suru"
So, as you said, the potential form of "suru" is "dekiru", right?
Then, the potential form of "to kiss" is "kisu dekiru"
So can you guess what the potential form of "to play soccer?" sakkā suru → sakkā ___
Then can you guess what the potential form of "to acsomplish"? tassei suru → tassei ___
Or another way to get around it is;
(dictionary form) + koto ga dekiru
↓
-benkyou suru koto ga dekiru
-aisu koto ga dekiru / aisuru koto ga dekiru
-sakkā suru koto ga dekiru
-kisu suru kotoga dekiru